460896 has 24 divisors (see below), whose sum is σ = 1210104. Its totient is φ = 153600.

The previous prime is 460891. The next prime is 460903. The reversal of 460896 is 698064.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460891) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2305 + ... + 2496.

It is an arithmetic number, because the mean of its divisors is an integer number (50421).

2⁴⁶⁰⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

460896 is an abundant number, since it is smaller than the sum of its proper divisors (749208).

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

460896 is a wasteful number, since it uses less digits than its factorization.

460896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 460896 is about 678.8932169347. The cubic root of 460896 is about 77.2445142259.

The spelling of 460896 in words is "four hundred sixty thousand, eight hundred ninety-six".