264407 has 12 divisors (see below), whose sum is σ = 318024. Its totient is φ = 216720.

The previous prime is 264403. The next prime is 264437. The reversal of 264407 is 704462.

It is not a de Polignac number, because 264407 - 2² = 264403 is a prime.

It is a super-2 number, since 2×264407² = 139822123298, which contains 22 as substring.

It is a Duffinian number.

264407 is a modest number, since divided by 407 gives 264 as remainder.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6128 + ... + 6170.

It is an arithmetic number, because the mean of its divisors is an integer number (26502).

2²⁶⁴⁴⁰⁷ is an apocalyptic number.

264407 is a deficient number, since it is larger than the sum of its proper divisors (53617).

264407 is a wasteful number, since it uses less digits than its factorization.

264407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 264407 is about 514.2052119534. The cubic root of 264407 is about 64.1836359984.

Adding to 264407 its reverse (704462), we get a palindrome (968869).

The spelling of 264407 in words is "two hundred sixty-four thousand, four hundred seven".