57974400 has 384 divisors, whose sum is σ = 235252800. Its totient is φ = 13824000.

The previous prime is 57974383. The next prime is 57974417. The reversal of 57974400 is 447975.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57974383) and next prime (57974417).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×57974400² = 6722062110720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 950370 + ... + 950430.

Almost surely, 2^57974400 is an apocalyptic number.

57974400 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 57974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117626400).

57974400 is an abundant number, since it is smaller than the sum of its proper divisors (177278400).

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

57974400 is a wasteful number, since it uses less digits than its factorization.

57974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57974400 is about 7614.0921980233. The cubic root of 57974400 is about 387.0307048530.

The spelling of 57974400 in words is "fifty-seven million, nine hundred seventy-four thousand, four hundred".