656520480 has 576 divisors, whose sum is σ = 2898395136. Its totient is φ = 131328000.

The previous prime is 656520419. The next prime is 656520497. The reversal of 656520480 is 84025656.

656520480 is a `hidden beast` number, since 6 + 56 + 520 + 4 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3437185 + ... + 3437375.

It is an arithmetic number, because the mean of its divisors is an integer number (5031936).

Almost surely, 2^656520480 is an apocalyptic number.

656520480 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 656520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449197568).

656520480 is an abundant number, since it is smaller than the sum of its proper divisors (2241874656).

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

656520480 is a wasteful number, since it uses less digits than its factorization.

656520480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 656520480 is about 25622.6556000739. The cubic root of 656520480 is about 869.1260347513.

The spelling of 656520480 in words is "six hundred fifty-six million, five hundred twenty thousand, four hundred eighty".