476356752 has 120 divisors (see below), whose sum is σ = 1436292000. Its totient is φ = 146893824.

The previous prime is 476356721. The next prime is 476356781. The reversal of 476356752 is 257653674.

476356752 is a `hidden beast` number, since 4 + 7 + 635 + 6 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 476356698 and 476356707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115624 + ... + 119672.

It is an arithmetic number, because the mean of its divisors is an integer number (11969100).

Almost surely, 2^476356752 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 476356752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718146000).

476356752 is an abundant number, since it is smaller than the sum of its proper divisors (959935248).

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

476356752 is a wasteful number, since it uses less digits than its factorization.

476356752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4116 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 476356752 is about 21825.5985484935. The cubic root of 476356752 is about 780.9875459997.

The spelling of 476356752 in words is "four hundred seventy-six million, three hundred fifty-six thousand, seven hundred fifty-two".