656457312 has 144 divisors (see below), whose sum is σ = 2122711920. Its totient is φ = 176504832.

The previous prime is 656457299. The next prime is 656457313. The reversal of 656457312 is 213754656.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656457313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75864 + ... + 84072.

It is an arithmetic number, because the mean of its divisors is an integer number (14741055).

Almost surely, 2^656457312 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 656457312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061355960).

656457312 is an abundant number, since it is smaller than the sum of its proper divisors (1466254608).

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

656457312 is a wasteful number, since it uses less digits than its factorization.

656457312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253 (or 8238 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 656457312 is about 25621.4229113061. The cubic root of 656457312 is about 869.0981591475.

The spelling of 656457312 in words is "six hundred fifty-six million, four hundred fifty-seven thousand, three hundred twelve".