57345408 has 80 divisors (see below), whose sum is σ = 170689860. Its totient is φ = 19111680.

The previous prime is 57345391. The next prime is 57345433. The reversal of 57345408 is 80454375.

57345408 is a `hidden beast` number, since 573 + 45 + 40 + 8 = 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 9 ways as a sum of consecutive naturals, for example, 7603 + ... + 13133.

Almost surely, 2^57345408 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 57345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344930).

57345408 is an abundant number, since it is smaller than the sum of its proper divisors (113344452).

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

57345408 is an equidigital number, since it uses as much as digits as its factorization.

57345408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 57345408 is about 7572.6750887649. The cubic root of 57345408 is about 385.6259183809.

The spelling of 57345408 in words is "fifty-seven million, three hundred forty-five thousand, four hundred eight".