459679642272 has 240 divisors, whose sum is σ = 1395031137192. Its totient is φ = 148393451520.

The previous prime is 459679642139. The next prime is 459679642283. The reversal of 459679642272 is 272246976954.

459679642272 is a `hidden beast` number, since 4 + 59 + 6 + 7 + 96 + 422 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 286220720016 + 173458922256 = 534996^2 + 416484^2 .

It is a super-2 number, since 2×459679642272² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14543478 + ... + 14575050.

Almost surely, 2^459679642272 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 459679642272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697515568596).

459679642272 is an abundant number, since it is smaller than the sum of its proper divisors (935351494920).

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

459679642272 is a wasteful number, since it uses less digits than its factorization.

459679642272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31773 (or 31756 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 459679642272 in words is "four hundred fifty-nine billion, six hundred seventy-nine million, six hundred forty-two thousand, two hundred seventy-two".