479972591 has 32 divisors (see below), whose sum is σ = 587856000. Its totient is φ = 391184640.

The previous prime is 479972561. The next prime is 479972617. The reversal of 479972591 is 195279974.

It is not a de Polignac number, because 479972591 - 2²² = 475778287 is a prime.

It is a super-2 number, since 2×479972591² = 460747376222506562, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479972501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725801 + ... + 726461.

It is an arithmetic number, because the mean of its divisors is an integer number (18370500).

Almost surely, 2^479972591 is an apocalyptic number.

479972591 is a deficient number, since it is larger than the sum of its proper divisors (107883409).

479972591 is an equidigital number, since it uses as much as digits as its factorization.

479972591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 770 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 53.

The square root of 479972591 is about 21908.2767692943. The cubic root of 479972591 is about 782.9586248102.

The spelling of 479972591 in words is "four hundred seventy-nine million, nine hundred seventy-two thousand, five hundred ninety-one".