460919172 has 96 divisors (see below), whose sum is σ = 1303916544. Its totient is φ = 123868800.

The previous prime is 460919167. The next prime is 460919183. The reversal of 460919172 is 271919064.

It is a self number, because there is not a number n which added to its sum of digits gives 460919172.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115897 + ... + 119807.

It is an arithmetic number, because the mean of its divisors is an integer number (13582464).

Almost surely, 2^460919172 is an apocalyptic number.

460919172 is a gapful number since it is divisible by the number (42) 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 460919172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651958272).

460919172 is an abundant number, since it is smaller than the sum of its proper divisors (842997372).

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

460919172 is a wasteful number, since it uses less digits than its factorization.

460919172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 460919172 is about 21469.0282034376. The cubic root of 460919172 is about 772.4580871888.

The spelling of 460919172 in words is "four hundred sixty million, nine hundred nineteen thousand, one hundred seventy-two".