57495900 has 288 divisors, whose sum is σ = 219985920. Its totient is φ = 11232000.

The previous prime is 57495863. The next prime is 57495901. The reversal of 57495900 is 959475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57495901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 438835 + ... + 438965.

It is an arithmetic number, because the mean of its divisors is an integer number (763840).

Almost surely, 2^57495900 is an apocalyptic number.

57495900 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 57495900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

57495900 is an abundant number, since it is smaller than the sum of its proper divisors (162490020).

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

57495900 is a wasteful number, since it uses less digits than its factorization.

57495900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 57495900 is about 7582.6050932381. The cubic root of 57495900 is about 385.9629574197.

The spelling of 57495900 in words is "fifty-seven million, four hundred ninety-five thousand, nine hundred".