57409408 has 64 divisors (see below), whose sum is σ = 138434400. Its totient is φ = 23150592.

The previous prime is 57409397. The next prime is 57409411. The reversal of 57409408 is 80490475.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13348 + ... + 17116.

Almost surely, 2^57409408 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 57409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69217200).

57409408 is an abundant number, since it is smaller than the sum of its proper divisors (81024992).

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

57409408 is a wasteful number, since it uses less digits than its factorization.

57409408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 57409408 is about 7576.8996297958. The cubic root of 57409408 is about 385.7693235461.

The spelling of 57409408 in words is "fifty-seven million, four hundred nine thousand, four hundred eight".