466,400
466,400 is a composite number, even.
466,400 (four hundred sixty-six thousand four hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 5² × 11 × 53. Its proper divisors sum to 799,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71DE0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 4,664
- Square (n²)
- 217,528,960,000
- Cube (n³)
- 101,455,506,944,000,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,265,544
- φ(n) — Euler's totient
- 166,400
- Sum of prime factors
- 84
Primality
Prime factorization: 2 5 × 5 2 × 11 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√466,400 = [682; (1, 14, 2, 1, 7, 7, 1, 1, 1, 2, 2, 1, 1, 3, 4, 341, 4, 3, 1, 1, 2, 2, 1, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-six thousand four hundred
- Ordinal
- 466400th
- Binary
- 1110001110111100000
- Octal
- 1616740
- Hexadecimal
- 0x71DE0
- Base64
- Bx3g
- One's complement
- 4,294,500,895 (32-bit)
- Scientific notation
- 4.664 × 10⁵
- As a duration
- 466,400 s = 5 days, 9 hours, 33 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵υξϛυʹ
- Chinese
- 四十六萬六千四百
- Chinese (financial)
- 肆拾陸萬陸仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 466400, here are decompositions:
- 31 + 466369 = 466400
- 43 + 466357 = 466400
- 61 + 466339 = 466400
- 79 + 466321 = 466400
- 97 + 466303 = 466400
- 127 + 466273 = 466400
- 139 + 466261 = 466400
- 157 + 466243 = 466400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.29.224.
- Address
- 0.7.29.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.29.224
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 466,400 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°.