460628685 has 192 divisors, whose sum is σ = 1008184320. Its totient is φ = 191600640.

The previous prime is 460628681. The next prime is 460628689. The reversal of 460628685 is 586826064.

It is an interprime number because it is at equal distance from previous prime (460628681) and next prime (460628689).

It is not a de Polignac number, because 460628685 - 2² = 460628681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 460628685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460628681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6875022 + ... + 6875088.

It is an arithmetic number, because the mean of its divisors is an integer number (5250960).

Almost surely, 2^460628685 is an apocalyptic number.

460628685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

460628685 is an abundant number, since it is smaller than the sum of its proper divisors (547555635).

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

460628685 is a wasteful number, since it uses less digits than its factorization.

460628685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 460628685 is about 21462.2618798672. The cubic root of 460628685 is about 772.2957765990.

The spelling of 460628685 in words is "four hundred sixty million, six hundred twenty-eight thousand, six hundred eighty-five".