460952960 has 128 divisors (see below), whose sum is σ = 1256925600. Its totient is φ = 160137216.

The previous prime is 460952957. The next prime is 460953013. The reversal of 460952960 is 69259064.

It is a tau number, because it is divible by the number of its divisors (128).

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, 139811 + ... + 143069.

Almost surely, 2^460952960 is an apocalyptic number.

460952960 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 460952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628462800).

460952960 is an abundant number, since it is smaller than the sum of its proper divisors (795972640).

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

460952960 is a wasteful number, since it uses less digits than its factorization.

460952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 460952960 is about 21469.8150900281. The cubic root of 460952960 is about 772.4769619198.

The spelling of 460952960 in words is "four hundred sixty million, nine hundred fifty-two thousand, nine hundred sixty".