460126656 has 140 divisors (see below), whose sum is σ = 1488140280. Its totient is φ = 139415040.

The previous prime is 460126649. The next prime is 460126679. The reversal of 460126656 is 656621064.

It is a happy number.

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 460126656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52990 + ... + 61058.

Almost surely, 2^460126656 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 460126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744070140).

460126656 is an abundant number, since it is smaller than the sum of its proper divisors (1028013624).

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

460126656 is a wasteful number, since it uses less digits than its factorization.

460126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8104 (or 8085 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 460126656 is about 21450.5630695327. The cubic root of 460126656 is about 772.0151052554.

The spelling of 460126656 in words is "four hundred sixty million, one hundred twenty-six thousand, six hundred fifty-six".