460225656 has 96 divisors (see below), whose sum is σ = 1393020720. Its totient is φ = 136051200.

The previous prime is 460225643. The next prime is 460225669. The reversal of 460225656 is 656522064.

It is an interprime number because it is at equal distance from previous prime (460225643) and next prime (460225669).

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 460225656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25386 + ... + 39558.

Almost surely, 2^460225656 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 460225656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696510360).

460225656 is an abundant number, since it is smaller than the sum of its proper divisors (932795064).

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

460225656 is a wasteful number, since it uses less digits than its factorization.

460225656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14237 (or 14230 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 460225656 is about 21452.8705771512. The cubic root of 460225656 is about 772.0704697321.

The spelling of 460225656 in words is "four hundred sixty million, two hundred twenty-five thousand, six hundred fifty-six".