57246464 has 72 divisors (see below), whose sum is σ = 129139920. Its totient is φ = 25088000.

The previous prime is 57246457. The next prime is 57246467. The reversal of 57246464 is 46464275.

It is not an unprimeable number, because it can be changed into a prime (57246467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81314 + ... + 82014.

It is an arithmetic number, because the mean of its divisors is an integer number (1793610).

Almost surely, 2^57246464 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 57246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64569960).

57246464 is an abundant number, since it is smaller than the sum of its proper divisors (71893456).

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

57246464 is a wasteful number, since it uses less digits than its factorization.

57246464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 743 counting only the distinct ones).

The product of its digits is 161280, while the sum is 38.

The square root of 57246464 is about 7566.1393061455. The cubic root of 57246464 is about 385.4040038589.

The spelling of 57246464 in words is "fifty-seven million, two hundred forty-six thousand, four hundred sixty-four".