460342112256 has 468 divisors, whose sum is σ = 1516041064200. Its totient is φ = 134154289152.

The previous prime is 460342112249. The next prime is 460342112261. The reversal of 460342112256 is 652211243064.

460342112256 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 421 + 1 + 225 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

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 460342112256.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118368360 + ... + 118372248.

Almost surely, 2^460342112256 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 460342112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758020532100).

460342112256 is an abundant number, since it is smaller than the sum of its proper divisors (1055698951944).

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

460342112256 is a wasteful number, since it uses less digits than its factorization.

460342112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 460342112256 in words is "four hundred sixty billion, three hundred forty-two million, one hundred twelve thousand, two hundred fifty-six".