57408 has 56 divisors (see below), whose sum is σ = 170688. Its totient is φ = 16896.

The previous prime is 57397. The next prime is 57413. The reversal of 57408 is 80475.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 9.

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, 2485 + ... + 2507.

It is an arithmetic number, because the mean of its divisors is an integer number (3048).

2⁵⁷⁴⁰⁸ 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 57408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344).

57408 is an abundant number, since it is smaller than the sum of its proper divisors (113280).

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

57408 is a wasteful number, since it uses less digits than its factorization.

57408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 57408 is about 239.5996661100. The cubic root of 57408 is about 38.5766169779.

It can be divided in two parts, 57 and 408, that added together give a triangular number (465 = T₃₀).

The spelling of 57408 in words is "fifty-seven thousand, four hundred eight".