57430624 has 48 divisors (see below), whose sum is σ = 120557808. Its totient is φ = 26836992.

The previous prime is 57430603. The next prime is 57430649. The reversal of 57430624 is 42603475.

57430624 is nontrivially palindromic in base 3.

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 7 ways as a sum of consecutive naturals, for example, 104719 + ... + 105265.

It is an arithmetic number, because the mean of its divisors is an integer number (2511621).

Almost surely, 2^57430624 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 57430624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60278904).

57430624 is an abundant number, since it is smaller than the sum of its proper divisors (63127184).

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

57430624 is a wasteful number, since it uses less digits than its factorization.

57430624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 57430624 is about 7578.2995454125. The cubic root of 57430624 is about 385.8168388358.

The spelling of 57430624 in words is "fifty-seven million, four hundred thirty thousand, six hundred twenty-four".