57732480 has 256 divisors, whose sum is σ = 221054400. Its totient is φ = 14155776.

The previous prime is 57732473. The next prime is 57732517. The reversal of 57732480 is 8423775.

57732480 is a `hidden beast` number, since 577 + 3 + 2 + 4 + 80 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224512 + ... + 224768.

Almost surely, 2^57732480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110527200).

57732480 is an abundant number, since it is smaller than the sum of its proper divisors (163321920).

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

57732480 is a wasteful number, since it uses less digits than its factorization.

57732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 57732480 is about 7598.1892579746. The cubic root of 57732480 is about 386.4916105459.

The spelling of 57732480 in words is "fifty-seven million, seven hundred thirty-two thousand, four hundred eighty".