460163312 has 80 divisors (see below), whose sum is σ = 1047552000. Its totient is φ = 195733440.

The previous prime is 460163309. The next prime is 460163381. The reversal of 460163312 is 213361064.

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, 1047989 + ... + 1048427.

It is an arithmetic number, because the mean of its divisors is an integer number (13094400).

Almost surely, 2^460163312 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 460163312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523776000).

460163312 is an abundant number, since it is smaller than the sum of its proper divisors (587388688).

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

460163312 is a wasteful number, since it uses less digits than its factorization.

460163312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 460163312 is about 21451.4174823017. The cubic root of 460163312 is about 772.0356055777.

The spelling of 460163312 in words is "four hundred sixty million, one hundred sixty-three thousand, three hundred twelve".