476521920 has 224 divisors, whose sum is σ = 1921459200. Its totient is φ = 108905472.

The previous prime is 476521897. The next prime is 476521963. The reversal of 476521920 is 29125674.

476521920 is a `hidden beast` number, since 47 + 6 + 521 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56541 + ... + 64419.

Almost surely, 2^476521920 is an apocalyptic number.

476521920 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 476521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960729600).

476521920 is an abundant number, since it is smaller than the sum of its proper divisors (1444937280).

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

476521920 is a wasteful number, since it uses less digits than its factorization.

476521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 476521920 is about 21829.3820343133. The cubic root of 476521920 is about 781.0777999565.

The spelling of 476521920 in words is "four hundred seventy-six million, five hundred twenty-one thousand, nine hundred twenty".