264609 has 6 divisors (see below), whose sum is σ = 382226. Its totient is φ = 176400.

The previous prime is 264601. The next prime is 264619. The reversal of 264609 is 906462.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 88209 = 420^2 + 297^2 .

It is not a de Polignac number, because 264609 - 2³ = 264601 is a prime.

It is a Duffinian number.

264609 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (264601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14692 + ... + 14709.

2²⁶⁴⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

264609 is a deficient number, since it is larger than the sum of its proper divisors (117617).

264609 is a wasteful number, since it uses less digits than its factorization.

264609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29407 (or 29404 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 264609 is about 514.4015940877. The cubic root of 264609 is about 64.1999767083.

The spelling of 264609 in words is "two hundred sixty-four thousand, six hundred nine".