460468960 has 96 divisors (see below), whose sum is σ = 1286228160. Its totient is φ = 152420352.

The previous prime is 460468949. The next prime is 460468963. The reversal of 460468960 is 69864064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460468963) 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, 25392 + ... + 39568.

It is an arithmetic number, because the mean of its divisors is an integer number (13398210).

Almost surely, 2^460468960 is an apocalyptic number.

460468960 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 460468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643114080).

460468960 is an abundant number, since it is smaller than the sum of its proper divisors (825759200).

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

460468960 is a wasteful number, since it uses less digits than its factorization.

460468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14228 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 460468960 is about 21458.5404909094. The cubic root of 460468960 is about 772.2065006394.

The spelling of 460468960 in words is "four hundred sixty million, four hundred sixty-eight thousand, nine hundred sixty".