359056656 has 240 divisors, whose sum is σ = 1211708160. Its totient is φ = 97090560.

The previous prime is 359056619. The next prime is 359056669. The reversal of 359056656 is 656650953.

359056656 is a `hidden beast` number, since 3 + 590 + 5 + 6 + 6 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2075386 + ... + 2075558.

It is an arithmetic number, because the mean of its divisors is an integer number (5048784).

Almost surely, 2^359056656 is an apocalyptic number.

359056656 is a gapful number since it is divisible by the number (36) 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 359056656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605854080).

359056656 is an abundant number, since it is smaller than the sum of its proper divisors (852651504).

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

359056656 is a wasteful number, since it uses less digits than its factorization.

359056656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The square root of 359056656 is about 18948.7903571706. The cubic root of 359056656 is about 710.7567518168.

The spelling of 359056656 in words is "three hundred fifty-nine million, fifty-six thousand, six hundred fifty-six".