In this article, we are going to delve into the fascinating world of 400 (number) and explore all its facets. From its origins to its evolution today, 400 (number) has played a crucial role in various areas of daily life. Over the next few lines, we will examine in detail its impact on society, culture and technology, as well as the challenges and opportunities it presents for the future. Through deep and thoughtful analysis, we hope to shed light on this topic and provide a unique insight that invites reflection and debate.
This article is about the numbers 400 to 499. For the year 400 AD, see 400. For other uses, see 400 (disambiguation).
A request that this article title be changed to 400-499 (numbers) is under discussion. Please do not move this article until the discussion is closed.
400 is the square of 20. 400 is the sum of the powers of 7 from 0 to 3, thus making it a repdigit in base 7 (1111).
A circle is divided into 400 grads, which is equal to 360 degrees and 2π radians. (Degrees and radians are the SI accepted units).
400 is a self number in base 10, since there is no integer that added to the sum of its own digits results in 400. On the other hand, 400 is divisible by the sum of its own base 10 digits, making it a Harshad number.
.400 (2 hits out of 5 at-bats) is a numerically significant annual batting average statistic in Major League Baseball, last accomplished by Ted Williams of the Boston Red Sox in 1941.
The number of days in a Gregorian calendar year changes according to a cycle of exactly 400 years, of which 97 are leap years and 303 are common.
The Sun is approximately 400 times the size of the Moon but is also approximately 400 times farther away from Earth than the Moon is, thus creating the illusion in which the Sun and the Moon in Earth's sky appear to be of similar size.
In gematria 400 is the largest single number that can be represented without using the Sophit forms (see Kaph, Mem, Nun, Pe, and Tzade).
406 is a poem by John Boyle O'Reilly. It was believed to have been the number of one of O'Reilly's prison cells, and was the number of his first hotel room after he arrived in the United States. Hence the number had a mystical significance to him, as intimated in the poem.
Area Code 410, a telephone area code for the US State of Maryland, representing portions of the state including the Baltimore metropolitan area and the Eastern Shore.
415 refers to California Penal Code, section 415, pertaining to public fighting, public disturbance, and public use of offensive words likely to provoke an immediate violent reaction.
Area code 415, a telephone area code for San Francisco, California
418 = 2 × 11 × 19; sphenic number, balanced number. It is also the fourth 71-gonal number.
the sum of the integers between 13 and 31, inclusive.
the product of its digits as well as the sum of its prime factors are both 32. Also, 131, a strong concatenation of 13 and 31, is the 32nd prime number (while the 32nd composite number is 48).
the sum of the 84digits of the 22nd unique prime in decimal (having a very distinct set of digits than all other known terms in the sequence).
A prime number, sum of five consecutive primes (73 + 79 + 83 + 89 + 97), centered square number, also SMTP code meaning the transmission channel will be closing
422 = 2 × 211, Mertens function returns 0, nontotient, since 422 = 202 + 20 + 2 it is the maximum number of regions into which 21 intersecting circles divide the plane.
423
423 = 32 × 47, Mertens function returns 0,Harshad number, number of secondary structures of RNA molecules with 10 nucleotides
424 = 23 × 53, sum of ten consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Mertens function returns 0,refactorable number, self number
425
425 = 52 × 17, pentagonal number,centered tetrahedral number, sum of three consecutive primes (137 + 139 + 149), Mertens function returns 0, the second number that can be expressed as the sum of two squares in three different ways (425 = 202 + 52 = 192 + 82 = 162 + 132).
432 = 24 × 33 = 42 × 33, the sum of four consecutive primes (103 + 107 + 109 + 113), a Harshad number, a highly totient number, an Achilles number and the sum of totient function for first 37 integers. 432! is the first factorial that is not a Harshad number in base 10. 432 is also three-dozen sets of a dozen, making it three gross. An equilateral triangle whose area and perimeter are equal, has an area (and perimeter) equal to .
The perfect score in the game show Fifteen To One, only ever achieved once in over 2000 shows.
433 can refer to composer John Cage's composition 4′33″ (pronounced "Four minutes, thirty-three seconds" or just "Four thirty-three").
434
434 = 2 × 7 × 31, sphenic number, sum of six consecutive primes (61 + 67 + 71 + 73 + 79 + 83), nontotient, maximal number of pieces that can be obtained by cutting an annulus with 28 cuts
435
435 = 3 × 5 × 29, sphenic number, triangular number, hexagonal number, self number, number of compositions of 16 into distinct parts
The "438 match" or "438 game" has been used by cricket media to describe the famous 2006 One Day International in which Australia scored a world record 434 in their innings, only to see South Africa respond in their innings with 438.
439
A prime number, sum of three consecutive primes (139 + 149 + 151), sum of nine consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), strictly non-palindromic number
A prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, Mertens function sets new low of -9, which stands until 659.
In computing, it is the default port for HTTPS connections.
A prime number, sum of five consecutive primes (79 + 83 + 89 + 97 + 101), Chen prime, Eisenstein prime with no imaginary part, Proth prime. Also the largest number whose factorial is less than 101000
450s
450
450 = 2 × 32 × 52, nontotient, sum of totient function for first 38 integers, refactorable number, Harshad number,
SMTP code meaning the requested mail action was not carried out.
A prime number, sum of seven consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79), centered heptagonal number. This number is the first of seven consecutive primes that are one less than a multiple of 4 (from 463 to 503).
In chess it is the number of legal positions of the kings, not counting mirrored positions. Has some importance when constructing an endgame tablebase.
478 = 2 × 239, Companion Pell number, number of partitions of 26 that do not contain 1 as a part
479
A prime number, safe prime, sum of nine consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71), Chen prime, Eisenstein prime with no imaginary part, self number
480 = 25 × 3 × 5, sum of a twin prime (239 + 241), sum of four consecutive primes (109 + 113 + 127 + 131), highly totient number, refactorable number, Harshad number
490 = 2 × 5 × 72, noncototient, sum of totient function for first 40 integers, number of integer partitions of 19, self number.
The Christian Gospel of Matthew (Matthew 18:21-22) says that Jesus told Peter to forgive his brother "seventy times seven" times when his brother sins against him .
491
A prime number, isolated prime, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, strictly non-palindromic number
492
492 = 22 × 3 × 41, sum of six consecutive primes (71 + 73 + 79 + 83 + 89 + 97), refactorable number, member of a Ruth–Aaron pair with 493 under first definition
493
493 = 17 × 29, sum of seven consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83), member of a Ruth–Aaron pair with 492 under first definition, the 493d centered octagonal number is also a centered square number
That number is 142,857,157,142,857,142,856,999,999,985,714,285,714,285,857,142,857,142,855,714,285,571,428,571,428,572,857,143.
^L. Masinter (1 April 1998). "Hyper Text Coffee Pot Control Protocol (HTCPCP/1.0)". Network Working Group (RFC). doi:10.17487/RFC2324. Retrieved 13 Sep 2018. Any attempt to brew coffee with a teapot should result in the error code "418 I'm a teapot". The resulting entity body MAY be short and stout.
^I. Nazar (1 April 2014). "The Hyper Text Coffee Pot Control Protocol for Tea Efflux Appliances (HTCPCP-TEA)". IETF Request for Comments (RFC) Pages - Test (RFC). doi:10.17487/RFC7168. ISSN2070-1721. Retrieved 13 Sep 2018. TEA-capable pots that are not provisioned to brew coffee may return either a status code of 503, indicating temporary unavailability of coffee, or a code of 418 as defined in the base HTCPCP specification to denote a more permanent indication that the pot is a teapot.