57488600 has 48 divisors (see below), whose sum is σ = 143949120. Its totient is φ = 21225600.

The previous prime is 57488591. The next prime is 57488603. The reversal of 57488600 is 688475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57488603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8456 + ... + 13655.

It is an arithmetic number, because the mean of its divisors is an integer number (2998940).

Almost surely, 2^57488600 is an apocalyptic number.

57488600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57488600 is an abundant number, since it is smaller than the sum of its proper divisors (86460520).

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

57488600 is a wasteful number, since it uses less digits than its factorization.

57488600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22140 (or 22131 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 57488600 is about 7582.1237130503. The cubic root of 57488600 is about 385.9466220587.

The spelling of 57488600 in words is "fifty-seven million, four hundred eighty-eight thousand, six hundred".