656657460 has 72 divisors (see below), whose sum is σ = 1997759400. Its totient is φ = 174590208.

The previous prime is 656657381. The next prime is 656657471. The reversal of 656657460 is 64756656.

It can be written as a sum of positive squares in 4 ways, for example, as 316697616 + 339959844 = 17796^2 + 18438^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 57594 + ... + 68046.

Almost surely, 2^656657460 is an apocalyptic number.

656657460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656657460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998879700).

656657460 is an abundant number, since it is smaller than the sum of its proper divisors (1341101940).

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

656657460 is a wasteful number, since it uses less digits than its factorization.

656657460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10817 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 656657460 is about 25625.3284856995. The cubic root of 656657460 is about 869.1864769405.

The spelling of 656657460 in words is "six hundred fifty-six million, six hundred fifty-seven thousand, four hundred sixty".