472252800 has 96 divisors (see below), whose sum is σ = 1555514280. Its totient is φ = 125931520.

The previous prime is 472252799. The next prime is 472252811. The reversal of 472252800 is 8252274.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14997 + ... + 34196.

Almost surely, 2^472252800 is an apocalyptic number.

472252800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472252800 is an abundant number, since it is smaller than the sum of its proper divisors (1083261480).

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

472252800 is a wasteful number, since it uses less digits than its factorization.

472252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49220 (or 49203 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 472252800 is about 21731.3782351695. The cubic root of 472252800 is about 778.7382625313.

The spelling of 472252800 in words is "four hundred seventy-two million, two hundred fifty-two thousand, eight hundred".