505264 has 20 divisors (see below), whose sum is σ = 1022256. Its totient is φ = 241472.

The previous prime is 505237. The next prime is 505277. The reversal of 505264 is 462505.

505264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 319 + ... + 1054.

2⁵⁰⁵²⁶⁴ is an apocalyptic number.

It is an amenable number.

505264 is an abundant number, since it is smaller than the sum of its proper divisors (516992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505264 is a wasteful number, since it uses less digits than its factorization.

505264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 505264 is about 710.8192456595. The cubic root of 505264 is about 79.6476167714.

Adding to 505264 its reverse (462505), we get a palindrome (967769).

The spelling of 505264 in words is "five hundred five thousand, two hundred sixty-four".