57954400 has 144 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 19468800.

The previous prime is 57954367. The next prime is 57954401. The reversal of 57954400 is 445975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57954401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442335 + ... + 442465.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 2^57954400 is an apocalyptic number.

57954400 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 57954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

57954400 is an abundant number, since it is smaller than the sum of its proper divisors (107035040).

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

57954400 is a wasteful number, since it uses less digits than its factorization.

57954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 57954400 is about 7612.7787305293. The cubic root of 57954400 is about 386.9861938022.

The spelling of 57954400 in words is "fifty-seven million, nine hundred fifty-four thousand, four hundred".