656412480 has 168 divisors, whose sum is σ = 2278895112. Its totient is φ = 173408256.

The previous prime is 656412451. The next prime is 656412503. The reversal of 656412480 is 84214656.

656412480 is a `hidden beast` number, since 6 + 5 + 641 + 2 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22581504 + 633830976 = 4752^2 + 25176^2 .

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

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, 324432 + ... + 326448.

Almost surely, 2^656412480 is an apocalyptic number.

656412480 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 656412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139447556).

656412480 is an abundant number, since it is smaller than the sum of its proper divisors (1622482632).

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

656412480 is a wasteful number, since it uses less digits than its factorization.

656412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 656412480 is about 25620.5480035069. The cubic root of 656412480 is about 869.0783740095.

It can be divided in two parts, 65641 and 2480, that added together give a square (68121 = 261²).

The spelling of 656412480 in words is "six hundred fifty-six million, four hundred twelve thousand, four hundred eighty".