57334400 has 192 divisors, whose sum is σ = 159364800. Its totient is φ = 20275200.

The previous prime is 57334373. The next prime is 57334429. The reversal of 57334400 is 443375.

It is a self number, because there is not a number n which added to its sum of digits gives 57334400.

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, 1398380 + ... + 1398420.

It is an arithmetic number, because the mean of its divisors is an integer number (830025).

Almost surely, 2^57334400 is an apocalyptic number.

57334400 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 57334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79682400).

57334400 is an abundant number, since it is smaller than the sum of its proper divisors (102030400).

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

57334400 is a wasteful number, since it uses less digits than its factorization.

57334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 57334400 is about 7571.9482301453. The cubic root of 57334400 is about 385.6012419397.

Adding to 57334400 its reverse (443375), we get a palindrome (57777775).

The spelling of 57334400 in words is "fifty-seven million, three hundred thirty-four thousand, four hundred".