460535160 has 128 divisors (see below), whose sum is σ = 1425600000. Its totient is φ = 118949376.

The previous prime is 460535111. The next prime is 460535191. The reversal of 460535160 is 61535064.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768541 + ... + 769139.

It is an arithmetic number, because the mean of its divisors is an integer number (11137500).

Almost surely, 2^460535160 is an apocalyptic number.

460535160 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 460535160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712800000).

460535160 is an abundant number, since it is smaller than the sum of its proper divisors (965064840).

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

460535160 is a wasteful number, since it uses less digits than its factorization.

460535160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 460535160 is about 21460.0829448537. The cubic root of 460535160 is about 772.2435046687.

The spelling of 460535160 in words is "four hundred sixty million, five hundred thirty-five thousand, one hundred sixty".