656916480 has 420 divisors, whose sum is σ = 2578631832. Its totient is φ = 159252480.

The previous prime is 656916479. The next prime is 656916523. The reversal of 656916480 is 84619656.

656916480 is a `hidden beast` number, since 6 + 569 + 1 + 6 + 4 + 80 = 666.

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 27 ways as a sum of consecutive naturals, for example, 59719675 + ... + 59719685.

Almost surely, 2^656916480 is an apocalyptic number.

656916480 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 656916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289315916).

656916480 is an abundant number, since it is smaller than the sum of its proper divisors (1921715352).

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

656916480 is an frugal number, since it uses more digits than its factorization.

656916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 656916480 is about 25630.3819714026. The cubic root of 656916480 is about 869.3007460989.

656916480 divided by its product of nonzero digits (311040) gives a palindrome (2112).

The spelling of 656916480 in words is "six hundred fifty-six million, nine hundred sixteen thousand, four hundred eighty".