460,800
460,800 is a composite number, even.
460,800 (four hundred sixty thousand eight hundred) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2¹¹ × 3² × 5². Its proper divisors sum to 1,189,485, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70800.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 8,064
- Square (n²)
- 212,336,640,000
- Cube (n³)
- 97,844,723,712,000,000
- Divisor count
- 108
- σ(n) — sum of divisors
- 1,650,285
- φ(n) — Euler's totient
- 122,880
- Sum of prime factors
- 38
Primality
Prime factorization: 2 11 × 3 2 × 5 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√460,800 = [678; (1, 4, 1, 1, 1, 2, 1, 2, 1, 20, 2, 13, 11, 2, 1, 84, 5, 1, 2, 53, 1, 20, 4, 3, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty thousand eight hundred
- Ordinal
- 460800th
- Binary
- 1110000100000000000
- Octal
- 1604000
- Hexadecimal
- 0x70800
- Base64
- BwgA
- One's complement
- 4,294,506,495 (32-bit)
- Scientific notation
- 4.608 × 10⁵
- As a duration
- 460,800 s = 5 days, 8 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵υξωʹ
- Chinese
- 四十六萬零八百
- Chinese (financial)
- 肆拾陸萬零捌佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 460800, here are decompositions:
- 7 + 460793 = 460800
- 13 + 460787 = 460800
- 23 + 460777 = 460800
- 29 + 460771 = 460800
- 79 + 460721 = 460800
- 89 + 460711 = 460800
- 103 + 460697 = 460800
- 127 + 460673 = 460800
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.8.0.
- Address
- 0.7.8.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.8.0
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 460,800 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.