460917828 has 72 divisors (see below), whose sum is σ = 1346567040. Its totient is φ = 130204800.

The previous prime is 460917823. The next prime is 460917833. The reversal of 460917828 is 828719064.

460917828 is a `hidden beast` number, since 4 + 609 + 17 + 8 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (460917823) and next prime (460917833).

It is not an unprimeable number, because it can be changed into a prime (460917823) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12153 + ... + 32703.

It is an arithmetic number, because the mean of its divisors is an integer number (18702320).

Almost surely, 2^460917828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460917828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673283520).

460917828 is an abundant number, since it is smaller than the sum of its proper divisors (885649212).

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

460917828 is a wasteful number, since it uses less digits than its factorization.

460917828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20657 (or 20652 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 460917828 is about 21468.9969025104. The cubic root of 460917828 is about 772.4573363814.

The spelling of 460917828 in words is "four hundred sixty million, nine hundred seventeen thousand, eight hundred twenty-eight".