57830304 has 96 divisors (see below), whose sum is σ = 177278976. Its totient is φ = 16162560.

The previous prime is 57830273. The next prime is 57830323. The reversal of 57830304 is 40303875.

57830304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 30669 + ... + 32499.

It is an arithmetic number, because the mean of its divisors is an integer number (1846656).

Almost surely, 2^57830304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57830304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88639488).

57830304 is an abundant number, since it is smaller than the sum of its proper divisors (119448672).

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

57830304 is a wasteful number, since it uses less digits than its factorization.

57830304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 57830304 is about 7604.6238565757. The cubic root of 57830304 is about 386.7097824824.

The spelling of 57830304 in words is "fifty-seven million, eight hundred thirty thousand, three hundred four".