460912960 has 112 divisors (see below), whose sum is σ = 1147023360. Its totient is φ = 176209920.

The previous prime is 460912957. The next prime is 460912961. The reversal of 460912960 is 69219064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460912961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962001 + ... + 962479.

It is an arithmetic number, because the mean of its divisors is an integer number (10241280).

Almost surely, 2^460912960 is an apocalyptic number.

460912960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573511680).

460912960 is an abundant number, since it is smaller than the sum of its proper divisors (686110400).

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

460912960 is a wasteful number, since it uses less digits than its factorization.

460912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 460912960 is about 21468.8835294246. The cubic root of 460912960 is about 772.4546169266.

The spelling of 460912960 in words is "four hundred sixty million, nine hundred twelve thousand, nine hundred sixty".