476528400 has 120 divisors (see below), whose sum is σ = 1696126560. Its totient is φ = 127071360.

The previous prime is 476528399. The next prime is 476528419. The reversal of 476528400 is 4825674.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 11262 + ... + 32861.

It is an arithmetic number, because the mean of its divisors is an integer number (14134388).

Almost surely, 2^476528400 is an apocalyptic number.

476528400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

476528400 is an abundant number, since it is smaller than the sum of its proper divisors (1219598160).

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

476528400 is a wasteful number, since it uses less digits than its factorization.

476528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44150 (or 44133 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 476528400 is about 21829.5304576164. The cubic root of 476528400 is about 781.0813404450.

The spelling of 476528400 in words is "four hundred seventy-six million, five hundred twenty-eight thousand, four hundred".