57318480 has 60 divisors (see below), whose sum is σ = 192496980. Its totient is φ = 15284736.

The previous prime is 57318479. The next prime is 57318511. The reversal of 57318480 is 8481375.

57318480 is a `hidden beast` number, since 573 + 1 + 8 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31674384 + 25644096 = 5628^2 + 5064^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39085 + ... + 40524.

It is an arithmetic number, because the mean of its divisors is an integer number (3208283).

Almost surely, 2^57318480 is an apocalyptic number.

It is an amenable number.

57318480 is an abundant number, since it is smaller than the sum of its proper divisors (135178500).

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

57318480 is a wasteful number, since it uses less digits than its factorization.

57318480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79628 (or 79619 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 57318480 is about 7570.8969085571. The cubic root of 57318480 is about 385.5655487663.

The spelling of 57318480 in words is "fifty-seven million, three hundred eighteen thousand, four hundred eighty".