460989160 has 64 divisors (see below), whose sum is σ = 1074124800. Its totient is φ = 177947136.

The previous prime is 460989143. The next prime is 460989223. The reversal of 460989160 is 61989064.

It is a super-2 number, since 2×460989160² = 425022011275011200, which contains 22 as substring.

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, 135561 + ... + 138919.

It is an arithmetic number, because the mean of its divisors is an integer number (16783200).

Almost surely, 2^460989160 is an apocalyptic number.

460989160 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 460989160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537062400).

460989160 is an abundant number, since it is smaller than the sum of its proper divisors (613135640).

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

460989160 is a wasteful number, since it uses less digits than its factorization.

460989160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 460989160 is about 21470.6581175333. The cubic root of 460989160 is about 772.4971830244.

The spelling of 460989160 in words is "four hundred sixty million, nine hundred eighty-nine thousand, one hundred sixty".