57393900 has 144 divisors (see below), whose sum is σ = 191133600. Its totient is φ = 14757120.

The previous prime is 57393877. The next prime is 57393907. The reversal of 57393900 is 939375.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 733 × 725 × 108.

It is not an unprimeable number, because it can be changed into a prime (57393907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77934 + ... + 78666.

Almost surely, 2^57393900 is an apocalyptic number.

57393900 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 57393900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95566800).

57393900 is an abundant number, since it is smaller than the sum of its proper divisors (133739700).

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

57393900 is a wasteful number, since it uses less digits than its factorization.

57393900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 57393900 is about 7575.8761869503. The cubic root of 57393900 is about 385.7345844696.

The spelling of 57393900 in words is "fifty-seven million, three hundred ninety-three thousand, nine hundred".