57729400 has 24 divisors (see below), whose sum is σ = 134221320. Its totient is φ = 23091680.

The previous prime is 57729383. The next prime is 57729421. The reversal of 57729400 is 492775.

57729400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144124 + ... + 144523.

It is an arithmetic number, because the mean of its divisors is an integer number (5592555).

Almost surely, 2^57729400 is an apocalyptic number.

57729400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57729400 is an abundant number, since it is smaller than the sum of its proper divisors (76491920).

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

57729400 is a wasteful number, since it uses less digits than its factorization.

57729400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288663 (or 288654 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 57729400 is about 7597.9865754027. The cubic root of 57729400 is about 386.4847373765.

The spelling of 57729400 in words is "fifty-seven million, seven hundred twenty-nine thousand, four hundred".