57504900 has 72 divisors (see below), whose sum is σ = 168086464. Its totient is φ = 15177600.

The previous prime is 57504893. The next prime is 57504913. The reversal of 57504900 is 940575.

57504900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29970 + ... + 31830.

Almost surely, 2^57504900 is an apocalyptic number.

57504900 is a gapful number since it is divisible by the number (50) 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 57504900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84043232).

57504900 is an abundant number, since it is smaller than the sum of its proper divisors (110581564).

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

57504900 is a wasteful number, since it uses less digits than its factorization.

57504900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 57504900 is about 7583.1985336004. The cubic root of 57504900 is about 385.9830950027.

The spelling of 57504900 in words is "fifty-seven million, five hundred four thousand, nine hundred".