57478464 has 224 divisors, whose sum is σ = 185318400. Its totient is φ = 17418240.

The previous prime is 57478459. The next prime is 57478471. The reversal of 57478464 is 46487475.

57478464 is a `hidden beast` number, since 574 + 78 + 4 + 6 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1553454 + ... + 1553490.

Almost surely, 2^57478464 is an apocalyptic number.

57478464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92659200).

57478464 is an abundant number, since it is smaller than the sum of its proper divisors (127839936).

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

57478464 is a wasteful number, since it uses less digits than its factorization.

57478464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 57478464 is about 7581.4552692738. The cubic root of 57478464 is about 385.9239382287.

The spelling of 57478464 in words is "fifty-seven million, four hundred seventy-eight thousand, four hundred sixty-four".