460721272 has 64 divisors (see below), whose sum is σ = 1006214400. Its totient is φ = 195552000.

The previous prime is 460721263. The next prime is 460721311. The reversal of 460721272 is 272127064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116772 + ... + 120652.

It is an arithmetic number, because the mean of its divisors is an integer number (15722100).

Almost surely, 2^460721272 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 460721272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503107200).

460721272 is an abundant number, since it is smaller than the sum of its proper divisors (545493128).

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

460721272 is a wasteful number, since it uses less digits than its factorization.

460721272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 460721272 is about 21464.4187435859. The cubic root of 460721272 is about 772.3475173040.

The spelling of 460721272 in words is "four hundred sixty million, seven hundred twenty-one thousand, two hundred seventy-two".