264456 has 24 divisors (see below), whose sum is σ = 716430. Its totient is φ = 88128.

The previous prime is 264443. The next prime is 264463. The reversal of 264456 is 654462.

It is a happy number.

264456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 260100 + 4356 = 510^2 + 66^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 264456.

It is an unprimeable number.

264456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1765 + ... + 1908.

2²⁶⁴⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

264456 is an abundant number, since it is smaller than the sum of its proper divisors (451974).

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

264456 is a wasteful number, since it uses less digits than its factorization.

264456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3678 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 264456 is about 514.2528560932. The cubic root of 264456 is about 64.1876005984.

The spelling of 264456 in words is "two hundred sixty-four thousand, four hundred fifty-six".