264409 has 4 divisors (see below), whose sum is σ = 270900. Its totient is φ = 257920.

The previous prime is 264403. The next prime is 264437. The reversal of 264409 is 904462.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 126025 = 372^2 + 355^2 .

It is a cyclic number.

It is not a de Polignac number, because 264409 - 2¹⁷ = 133337 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3184 + ... + 3265.

It is an arithmetic number, because the mean of its divisors is an integer number (67725).

2²⁶⁴⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

264409 is a deficient number, since it is larger than the sum of its proper divisors (6491).

264409 is an equidigital number, since it uses as much as digits as its factorization.

264409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 264409 is about 514.2071566985. The cubic root of 264409 is about 64.1837978284.

The spelling of 264409 in words is "two hundred sixty-four thousand, four hundred nine".