57264480 has 576 divisors, whose sum is σ = 264176640. Its totient is φ = 10948608.

The previous prime is 57264479. The next prime is 57264491. The reversal of 57264480 is 8446275.

57264480 is a `hidden beast` number, since 5 + 7 + 2 + 644 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 2489749 + ... + 2489771.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^57264480 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 57264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

57264480 is an abundant number, since it is smaller than the sum of its proper divisors (206912160).

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

57264480 is a wasteful number, since it uses less digits than its factorization.

57264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 57264480 is about 7567.3297800479. The cubic root of 57264480 is about 385.4444297053. Note that the first 4 decimals are identical.

The spelling of 57264480 in words is "fifty-seven million, two hundred sixty-four thousand, four hundred eighty".