460889295168 has 112 divisors (see below), whose sum is σ = 1238863907840. Its totient is φ = 151186742784.

The previous prime is 460889295149. The next prime is 460889295173. The reversal of 460889295168 is 861592988064.

It is a junction number, because it is equal to n+sod(n) for n = 460889295099 and 460889295108.

It is a congruent number.

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, 13348455 + ... + 13382937.

Almost surely, 2^460889295168 is an apocalyptic number.

460889295168 is a gapful number since it is divisible by the number (48) 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 460889295168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619431953920).

460889295168 is an abundant number, since it is smaller than the sum of its proper divisors (777974612672).

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

460889295168 is a wasteful number, since it uses less digits than its factorization.

460889295168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35604 (or 35594 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 66.

The spelling of 460889295168 in words is "four hundred sixty billion, eight hundred eighty-nine million, two hundred ninety-five thousand, one hundred sixty-eight".