57474688 has 64 divisors (see below), whose sum is σ = 123507720. Its totient is φ = 26542080.

The previous prime is 57474679. The next prime is 57474689. The reversal of 57474688 is 88647475.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29680704 + 27793984 = 5448^2 + 5272^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (57474689) 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, 132520 + ... + 132952.

Almost surely, 2^57474688 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 57474688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61753860).

57474688 is an abundant number, since it is smaller than the sum of its proper divisors (66033032).

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

57474688 is a wasteful number, since it uses less digits than its factorization.

57474688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 513 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 49.

The square root of 57474688 is about 7581.2062364771. The cubic root of 57474688 is about 385.9154870593.

The spelling of 57474688 in words is "fifty-seven million, four hundred seventy-four thousand, six hundred eighty-eight".