57465600 has 216 divisors, whose sum is σ = 196935312. Its totient is φ = 14745600.

The previous prime is 57465581. The next prime is 57465607. The reversal of 57465600 is 656475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57465607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787164 + ... + 787236.

Almost surely, 2^57465600 is an apocalyptic number.

57465600 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 57465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98467656).

57465600 is an abundant number, since it is smaller than the sum of its proper divisors (139469712).

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

57465600 is a wasteful number, since it uses less digits than its factorization.

57465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 57465600 is about 7580.6068358674. The cubic root of 57465600 is about 385.8951454391.

The spelling of 57465600 in words is "fifty-seven million, four hundred sixty-five thousand, six hundred".