503264 has 12 divisors (see below), whose sum is σ = 990864. Its totient is φ = 251616.

The previous prime is 503249. The next prime is 503267. The reversal of 503264 is 462305.

503264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 503264.

It is not an unprimeable number, because it can be changed into a prime (503267) by changing a digit.

503264 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 7832 + ... + 7895.

It is an arithmetic number, because the mean of its divisors is an integer number (82572).

2⁵⁰³²⁶⁴ is an apocalyptic number.

It is an amenable number.

503264 is a deficient number, since it is larger than the sum of its proper divisors (487600).

503264 is a wasteful number, since it uses less digits than its factorization.

503264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15737 (or 15729 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 503264 is about 709.4110233144. The cubic root of 503264 is about 79.5423873746.

Adding to 503264 its reverse (462305), we get a palindrome (965569).

It can be divided in two parts, 503 and 264, that added together give a palindrome (767).

The spelling of 503264 in words is "five hundred three thousand, two hundred sixty-four".