264424 has 8 divisors (see below), whose sum is σ = 495810. Its totient is φ = 132208.

The previous prime is 264403. The next prime is 264437. The reversal of 264424 is 424462.

264424 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 184900 + 79524 = 430^2 + 282^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 2⁷ + 6² + 4 + 4³ + 2¹¹ + 4⁹ .

It is a junction number, because it is equal to n+sod(n) for n = 264395 and 264404.

It is an unprimeable number.

264424 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 as a sum of consecutive naturals, namely, 16519 + ... + 16534.

2²⁶⁴⁴²⁴ is an apocalyptic number.

It is an amenable number.

264424 is a deficient number, since it is larger than the sum of its proper divisors (231386).

264424 is a wasteful number, since it uses less digits than its factorization.

264424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33059 (or 33055 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 264424 is about 514.2217420530. The cubic root of 264424 is about 64.1850115274.

Adding to 264424 its reverse (424462), we get a palindrome (688886).

The spelling of 264424 in words is "two hundred sixty-four thousand, four hundred twenty-four".