415630656 has 112 divisors (see below), whose sum is σ = 1396471680. Its totient is φ = 118748160.

The previous prime is 415630627. The next prime is 415630669. The reversal of 415630656 is 656036514.

415630656 is a `hidden beast` number, since 4 + 15 + 630 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 415630656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5085 + ... + 29276.

Almost surely, 2^415630656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698235840).

415630656 is an abundant number, since it is smaller than the sum of its proper divisors (980841024).

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

415630656 is a wasteful number, since it uses less digits than its factorization.

415630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34389 (or 34373 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 415630656 is about 20387.0217540474. The cubic root of 415630656 is about 746.2812395700.

The spelling of 415630656 in words is "four hundred fifteen million, six hundred thirty thousand, six hundred fifty-six".