656460000 has 360 divisors, whose sum is σ = 2671132464. Its totient is φ = 149760000.

The previous prime is 656459989. The next prime is 656460029. The reversal of 656460000 is 64656.

656460000 is a `hidden beast` number, since 6 + 56 + 4 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1259740 + ... + 1260260.

Almost surely, 2^656460000 is an apocalyptic number.

656460000 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 656460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335566232).

656460000 is an abundant number, since it is smaller than the sum of its proper divisors (2014672464).

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

656460000 is a wasteful number, since it uses less digits than its factorization.

656460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 656460000 is about 25621.4753673554. The cubic root of 656460000 is about 869.0993453799.

It can be divided in two parts, 6564 and 60000, that added together give a square (66564 = 258²).

The spelling of 656460000 in words is "six hundred fifty-six million, four hundred sixty thousand".