460335960 has 160 divisors (see below), whose sum is σ = 1768361760. Its totient is φ = 105214464.

The previous prime is 460335959. The next prime is 460335973. The reversal of 460335960 is 69533064.

460335960 is a `hidden beast` number, since 4 + 60 + 3 + 3 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12532 + ... + 32828.

It is an arithmetic number, because the mean of its divisors is an integer number (11052261).

Almost surely, 2^460335960 is an apocalyptic number.

460335960 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 460335960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884180880).

460335960 is an abundant number, since it is smaller than the sum of its proper divisors (1308025800).

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

460335960 is a wasteful number, since it uses less digits than its factorization.

460335960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20327 (or 20314 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 460335960 is about 21455.4412678929. The cubic root of 460335960 is about 772.1321464749.

The spelling of 460335960 in words is "four hundred sixty million, three hundred thirty-five thousand, nine hundred sixty".