480659313 has 16 divisors (see below), whose sum is σ = 674021376. Its totient is φ = 304088400.

The previous prime is 480659299. The next prime is 480659339. The reversal of 480659313 is 313956084.

It is not a de Polignac number, because 480659313 - 2²⁸ = 212223857 is a prime.

It is a super-3 number, since 3×480659313³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (480651313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18663 + ... + 36188.

It is an arithmetic number, because the mean of its divisors is an integer number (42126336).

Almost surely, 2^480659313 is an apocalyptic number.

It is an amenable number.

480659313 is a deficient number, since it is larger than the sum of its proper divisors (193362063).

480659313 is a wasteful number, since it uses less digits than its factorization.

480659313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55004.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 480659313 is about 21923.9438286089. The cubic root of 480659313 is about 783.3318535458.

The spelling of 480659313 in words is "four hundred eighty million, six hundred fifty-nine thousand, three hundred thirteen".