57924480 has 64 divisors (see below), whose sum is σ = 184640400. Its totient is φ = 15446016.

The previous prime is 57924479. The next prime is 57924481. The reversal of 57924480 is 8442975.

It is an interprime number because it is at equal distance from previous prime (57924479) and next prime (57924481).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57924481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13165 + ... + 17004.

Almost surely, 2^57924480 is an apocalyptic number.

It is an amenable number.

57924480 is an abundant number, since it is smaller than the sum of its proper divisors (126715920).

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

57924480 is a wasteful number, since it uses less digits than its factorization.

57924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30191 (or 30179 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 57924480 is about 7610.8133599504. The cubic root of 57924480 is about 386.9195861472.

The spelling of 57924480 in words is "fifty-seven million, nine hundred twenty-four thousand, four hundred eighty".