57391400 has 96 divisors (see below), whose sum is σ = 153338400. Its totient is φ = 19756800.

The previous prime is 57391393. The next prime is 57391459. The reversal of 57391400 is 419375.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41114 + ... + 42486.

It is an arithmetic number, because the mean of its divisors is an integer number (1597275).

Almost surely, 2^57391400 is an apocalyptic number.

57391400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57391400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76669200).

57391400 is an abundant number, since it is smaller than the sum of its proper divisors (95947000).

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

57391400 is a wasteful number, since it uses less digits than its factorization.

57391400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 57391400 is about 7575.7111877368. The cubic root of 57391400 is about 385.7289836975.

The spelling of 57391400 in words is "fifty-seven million, three hundred ninety-one thousand, four hundred".