460160032 has 48 divisors (see below), whose sum is σ = 942568704. Its totient is φ = 220896000.

The previous prime is 460160021. The next prime is 460160059. The reversal of 460160032 is 230061064.

It is a junction number, because it is equal to n+sod(n) for n = 460159985 and 460160012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128182 + ... + 131722.

It is an arithmetic number, because the mean of its divisors is an integer number (19636848).

Almost surely, 2^460160032 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 460160032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471284352).

460160032 is an abundant number, since it is smaller than the sum of its proper divisors (482408672).

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

460160032 is a wasteful number, since it uses less digits than its factorization.

460160032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 460160032 is about 21451.3410303412. The cubic root of 460160032 is about 772.0337712414.

The spelling of 460160032 in words is "four hundred sixty million, one hundred sixty thousand, thirty-two".