656404272 has 120 divisors (see below), whose sum is σ = 1997925696. Its totient is φ = 200337408.

The previous prime is 656404249. The next prime is 656404297. The reversal of 656404272 is 272404656.

656404272 is a `hidden beast` number, since 6 + 5 + 640 + 4 + 2 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86953 + ... + 94199.

Almost surely, 2^656404272 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 656404272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998962848).

656404272 is an abundant number, since it is smaller than the sum of its proper divisors (1341521424).

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

656404272 is a wasteful number, since it uses less digits than its factorization.

656404272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315 (or 7306 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 656404272 is about 25620.3878190788. The cubic root of 656404272 is about 869.0747515793.

The spelling of 656404272 in words is "six hundred fifty-six million, four hundred four thousand, two hundred seventy-two".