476882400 has 72 divisors (see below), whose sum is σ = 1552260024. Its totient is φ = 127168000.

The previous prime is 476882389. The next prime is 476882401. The reversal of 476882400 is 4288674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476882401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96951 + ... + 101750.

It is an arithmetic number, because the mean of its divisors is an integer number (21559167).

Almost surely, 2^476882400 is an apocalyptic number.

476882400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

476882400 is an abundant number, since it is smaller than the sum of its proper divisors (1075377624).

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

476882400 is a wasteful number, since it uses less digits than its factorization.

476882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198724 (or 198711 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 476882400 is about 21837.6372348292. The cubic root of 476882400 is about 781.2747072720.

The spelling of 476882400 in words is "four hundred seventy-six million, eight hundred eighty-two thousand, four hundred".