460222250256 has 100 divisors (see below), whose sum is σ = 1332744823872. Its totient is φ = 153323561664.

The previous prime is 460222250221. The next prime is 460222250269. The reversal of 460222250256 is 652052222064.

460222250256 is a `hidden beast` number, since 4 + 60 + 22 + 22 + 502 + 56 = 666.

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 460222250256.

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, 2297581 + ... + 2489843.

Almost surely, 2^460222250256 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 460222250256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666372411936).

460222250256 is an abundant number, since it is smaller than the sum of its proper divisors (872522573616).

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

460222250256 is a wasteful number, since it uses less digits than its factorization.

460222250256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194130 (or 194115 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 460222250256 in words is "four hundred sixty billion, two hundred twenty-two million, two hundred fifty thousand, two hundred fifty-six".