57374400 has 84 divisors (see below), whose sum is σ = 188251592. Its totient is φ = 15298560.

The previous prime is 57374393. The next prime is 57374411. The reversal of 57374400 is 447375.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1177 + ... + 10776.

Almost surely, 2^57374400 is an apocalyptic number.

57374400 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 57374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94125796).

57374400 is an abundant number, since it is smaller than the sum of its proper divisors (130877192).

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

57374400 is a wasteful number, since it uses less digits than its factorization.

57374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11978 (or 11963 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 57374400 is about 7574.5890977663. The cubic root of 57374400 is about 385.6908941331.

Subtracting from 57374400 its reverse (447375), we obtain a square (56927025 = 7545²).

The spelling of 57374400 in words is "fifty-seven million, three hundred seventy-four thousand, four hundred".