476313264 has 160 divisors (see below), whose sum is σ = 1613230080. Its totient is φ = 131673600.

The previous prime is 476313241. The next prime is 476313301. The reversal of 476313264 is 462313674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91204 + ... + 96284.

It is an arithmetic number, because the mean of its divisors is an integer number (10082688).

Almost surely, 2^476313264 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 476313264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806615040).

476313264 is an abundant number, since it is smaller than the sum of its proper divisors (1136916816).

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

476313264 is a wasteful number, since it uses less digits than its factorization.

476313264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5124 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 476313264 is about 21824.6022644171. The cubic root of 476313264 is about 780.9637790646.

The spelling of 476313264 in words is "four hundred seventy-six million, three hundred thirteen thousand, two hundred sixty-four".