57493800 has 432 divisors, whose sum is σ = 247796640. Its totient is φ = 12130560.

The previous prime is 57493783. The next prime is 57493801. The reversal of 57493800 is 839475.

57493800 is a `hidden beast` number, since 574 + 9 + 3 + 80 + 0 = 666.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (57493801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4422594 + ... + 4422606.

Almost surely, 2^57493800 is an apocalyptic number.

57493800 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 57493800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123898320).

57493800 is an abundant number, since it is smaller than the sum of its proper divisors (190302840).

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

57493800 is a wasteful number, since it uses less digits than its factorization.

57493800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57493800 is about 7582.4666171372. The cubic root of 57493800 is about 385.9582583479.

The spelling of 57493800 in words is "fifty-seven million, four hundred ninety-three thousand, eight hundred".