460855296 has 144 divisors (see below), whose sum is σ = 1452676680. Its totient is φ = 139591680.

The previous prime is 460855289. The next prime is 460855303. The reversal of 460855296 is 692558064.

460855296 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 552 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (460855289) and next prime (460855303).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201616 + ... + 203888.

Almost surely, 2^460855296 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 460855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726338340).

460855296 is an abundant number, since it is smaller than the sum of its proper divisors (991821384).

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

460855296 is a wasteful number, since it uses less digits than its factorization.

460855296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 460855296 is about 21467.5405205161. The cubic root of 460855296 is about 772.4224021091.

It can be divided in two parts, 4608 and 55296, that multiplied together give a 5-th power (254803968 = 48⁵).

The spelling of 460855296 in words is "four hundred sixty million, eight hundred fifty-five thousand, two hundred ninety-six".