466,440
466,440 is a composite number, even.
466,440 (four hundred sixty-six thousand four hundred forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5 × 13² × 23. Its proper divisors sum to 1,114,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71E08.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 44,664
- Square (n²)
- 217,566,273,600
- Cube (n³)
- 101,481,612,657,984,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,581,120
- φ(n) — Euler's totient
- 109,824
- Sum of prime factors
- 63
Primality
Prime factorization: 2 3 × 3 × 5 × 13 2 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√466,440 = [682; (1, 26, 1, 7, 8, 2, 6, 1, 2, 7, 1, 2, 1, 3, 24, 8, 24, 3, 1, 2, 1, 7, 2, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-six thousand four hundred forty
- Ordinal
- 466440th
- Binary
- 1110001111000001000
- Octal
- 1617010
- Hexadecimal
- 0x71E08
- Base64
- Bx4I
- One's complement
- 4,294,500,855 (32-bit)
- Scientific notation
- 4.6644 × 10⁵
- As a duration
- 466,440 s = 5 days, 9 hours, 34 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υξϛυμʹ
- Chinese
- 四十六萬六千四百四十
- Chinese (financial)
- 肆拾陸萬陸仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 466440, here are decompositions:
- 17 + 466423 = 466440
- 31 + 466409 = 466440
- 67 + 466373 = 466440
- 71 + 466369 = 466440
- 83 + 466357 = 466440
- 101 + 466339 = 466440
- 109 + 466331 = 466440
- 137 + 466303 = 466440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.30.8.
- Address
- 0.7.30.8
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.30.8
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 466,440 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 466440 first appears in π at position 244,117 of the decimal expansion (the 244,117ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.