57198400 has 84 divisors (see below), whose sum is σ = 160881568. Its totient is φ = 19607040.

The previous prime is 57198391. The next prime is 57198433. The reversal of 57198400 is 489175.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8647 + ... + 13753.

Almost surely, 2^57198400 is an apocalyptic number.

57198400 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 57198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80440784).

57198400 is an abundant number, since it is smaller than the sum of its proper divisors (103683168).

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

57198400 is a wasteful number, since it uses less digits than its factorization.

57198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 57198400 is about 7562.9623825588. The cubic root of 57198400 is about 385.2961122186.

The spelling of 57198400 in words is "fifty-seven million, one hundred ninety-eight thousand, four hundred".