864456 has 32 divisors (see below), whose sum is σ = 2184000. Its totient is φ = 285120.

The previous prime is 864449. The next prime is 864491. The reversal of 864456 is 654468.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 864456.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4245 + ... + 4443.

It is an arithmetic number, because the mean of its divisors is an integer number (68250).

2⁸⁶⁴⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

864456 is an abundant number, since it is smaller than the sum of its proper divisors (1319544).

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

864456 is a wasteful number, since it uses less digits than its factorization.

864456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 864456 is about 929.7612596791. The cubic root of 864456 is about 95.2608160712.

The spelling of 864456 in words is "eight hundred sixty-four thousand, four hundred fifty-six".