57216456 has 160 divisors (see below), whose sum is σ = 182952000. Its totient is φ = 16536960.

The previous prime is 57216413. The next prime is 57216457. The reversal of 57216456 is 65461275.

It is a happy number.

57216456 is a `hidden beast` number, since 5 + 7 + 2 + 1 + 645 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57216456.

It is not an unprimeable number, because it can be changed into a prime (57216457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163770 + ... + 164118.

It is an arithmetic number, because the mean of its divisors is an integer number (1143450).

Almost surely, 2^57216456 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 57216456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91476000).

57216456 is an abundant number, since it is smaller than the sum of its proper divisors (125735544).

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

57216456 is a wasteful number, since it uses less digits than its factorization.

57216456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 57216456 is about 7564.1560005066. The cubic root of 57216456 is about 385.3366505011.

The spelling of 57216456 in words is "fifty-seven million, two hundred sixteen thousand, four hundred fifty-six".