460864 has 28 divisors (see below), whose sum is σ = 965200. Its totient is φ = 217728.

The previous prime is 460843. The next prime is 460871. The reversal of 460864 is 468064.

460864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1027 + ... + 1405.

2⁴⁶⁰⁸⁶⁴ 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 460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482600).

460864 is an abundant number, since it is smaller than the sum of its proper divisors (504336).

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

460864 is a wasteful number, since it uses less digits than its factorization.

460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 460864 is about 678.8696487545. The cubic root of 460864 is about 77.2427264895.

The spelling of 460864 in words is "four hundred sixty thousand, eight hundred sixty-four".