479652264 has 192 divisors, whose sum is σ = 1683427200. Its totient is φ = 119812608.

The previous prime is 479652247. The next prime is 479652289. The reversal of 479652264 is 462256974.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122562 + ... + 126414.

It is an arithmetic number, because the mean of its divisors is an integer number (8767850).

Almost surely, 2^479652264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479652264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841713600).

479652264 is an abundant number, since it is smaller than the sum of its proper divisors (1203774936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

479652264 is a wasteful number, since it uses less digits than its factorization.

479652264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3897 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 479652264 is about 21900.9649102500. The cubic root of 479652264 is about 782.7844074994.

The spelling of 479652264 in words is "four hundred seventy-nine million, six hundred fifty-two thousand, two hundred sixty-four".