472975200 has 252 divisors, whose sum is σ = 1733318748. Its totient is φ = 125971200.

The previous prime is 472975199. The next prime is 472975213. The reversal of 472975200 is 2579274.

472975200 is a `hidden beast` number, since 47 + 2 + 97 + 520 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 582795 + ... + 583605.

It is an arithmetic number, because the mean of its divisors is an integer number (6878249).

Almost surely, 2^472975200 is an apocalyptic number.

472975200 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 472975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866659374).

472975200 is an abundant number, since it is smaller than the sum of its proper divisors (1260343548).

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

472975200 is an equidigital number, since it uses as much as digits as its factorization.

472975200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 472975200 is about 21747.9930108504. The cubic root of 472975200 is about 779.1351360679.

The spelling of 472975200 in words is "four hundred seventy-two million, nine hundred seventy-five thousand, two hundred".