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460,409

460,409 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

460,409 (four hundred sixty thousand four hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x70679.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
904,064
Square (n²)
211,976,447,281
Cube (n³)
97,595,864,116,197,929
Divisor count
2
σ(n) — sum of divisors
460,410
φ(n) — Euler's totient
460,408

Primality

460,409 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 460409
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 460,409)
1 × 460409
First multiples
460,409 · 920,818 (double) · 1,381,227 · 1,841,636 · 2,302,045 · 2,762,454 · 3,222,863 · 3,683,272 · 4,143,681 · 4,604,090

Sums & aliquot sequence

As a sum of two squares: 365² + 572²
As consecutive integers: 230,204 + 230,205

Continued fraction of √n

√460,409 = [678; (1, 1, 6, 1, 3, 8, 1, 5, 1, 1, 1, 2, 1, 1, 2, 1, 8, 4, 1, 4, 1, 1, 3, 1, …)]

Representations

In words
four hundred sixty thousand four hundred nine
Ordinal
460409th
Binary
1110000011001111001
Octal
1603171
Hexadecimal
0x70679
Base64
BwZ5
One's complement
4,294,506,886 (32-bit)
Scientific notation
4.60409 × 10⁵
As a duration
460,409 s = 5 days, 7 hours, 53 minutes, 29 seconds
In other bases
ternary (3) 212101120012
quaternary (4) 1300121321
quinary (5) 104213114
senary (6) 13511305
septenary (7) 3625205
nonary (9) 771505
undecimal (11) 294a04
duodecimal (12) 1a2535
tridecimal (13) 131741
tetradecimal (14) bdb05
pentadecimal (15) 9163e

As an angle

460,409° = 1,278 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξυθʹ
Chinese
四十六萬零四百零九
Chinese (financial)
肆拾陸萬零肆佰零玖
In other modern scripts
Eastern Arabic ٤٦٠٤٠٩ Devanagari ४६०४०९ Bengali ৪৬০৪০৯ Tamil ௪௬௦௪௦௯ Thai ๔๖๐๔๐๙ Tibetan ༤༦༠༤༠༩ Khmer ៤៦០៤០៩ Lao ໔໖໐໔໐໙ Burmese ၄၆၀၄၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 460403.

Hex color
#070679
RGB(7, 6, 121)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.6.121.

Address
0.7.6.121
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.6.121

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 460,409 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 460409 first appears in π at position 973,693 of the decimal expansion (the 973,693ordinal-suffix:rd 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.