476728320 has 176 divisors, whose sum is σ = 1564039008. Its totient is φ = 123863040.

The previous prime is 476728309. The next prime is 476728333. The reversal of 476728320 is 23827674.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629382 + ... + 630138.

Almost surely, 2^476728320 is an apocalyptic number.

476728320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782019504).

476728320 is an abundant number, since it is smaller than the sum of its proper divisors (1087310688).

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

476728320 is a wasteful number, since it uses less digits than its factorization.

476728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 476728320 is about 21834.1090956329. The cubic root of 476728320 is about 781.1905553063.

The spelling of 476728320 in words is "four hundred seventy-six million, seven hundred twenty-eight thousand, three hundred twenty".