523264 has 44 divisors (see below), whose sum is σ = 1211824. Its totient is φ = 221184.

The previous prime is 523261. The next prime is 523297. The reversal of 523264 is 462325.

523264 = 46² + 47² + ... + 118².

It is a happy number.

It is a d-powerful number, because it can be written as 5 + 2⁷ + 2⁹ + 3¹¹ + 6⁷ + 4⁸ .

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7132 + ... + 7204.

523264 is a Friedman number, since it can be written as 2*(2^3)^6-4^5, using all its digits and the basic arithmetic operations.

2⁵²³²⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605912).

523264 is an abundant number, since it is smaller than the sum of its proper divisors (688560).

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

523264 is an equidigital number, since it uses as much as digits as its factorization.

523264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 523264 is about 723.3698915493. The cubic root of 523264 is about 80.5824162682.

Adding to 523264 its reverse (462325), we get a palindrome (985589).

It can be divided in two parts, 523 and 264, that added together give a palindrome (787).

The spelling of 523264 in words is "five hundred twenty-three thousand, two hundred sixty-four".