264509 has 8 divisors (see below), whose sum is σ = 312960. Its totient is φ = 218736.

The previous prime is 264487. The next prime is 264527. The reversal of 264509 is 905462.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 264509 - 2¹² = 260413 is a prime.

It is a super-2 number, since 2×264509² = 139930022162, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449 + ... + 854.

It is an arithmetic number, because the mean of its divisors is an integer number (39120).

2²⁶⁴⁵⁰⁹ is an apocalyptic number.

264509 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

264509 is a deficient number, since it is larger than the sum of its proper divisors (48451).

264509 is a wasteful number, since it uses less digits than its factorization.

264509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 264509 is about 514.3043845817. The cubic root of 264509 is about 64.1918882878.

The spelling of 264509 in words is "two hundred sixty-four thousand, five hundred nine".