506264 has 24 divisors (see below), whose sum is σ = 1045380. Its totient is φ = 229680.

The previous prime is 506263. The next prime is 506269. The reversal of 506264 is 462605.

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 506264.

It is not an unprimeable number, because it can be changed into a prime (506263) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 707 + ... + 1229.

2⁵⁰⁶²⁶⁴ 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 506264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522690).

506264 is an abundant number, since it is smaller than the sum of its proper divisors (539116).

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

506264 is a wasteful number, since it uses less digits than its factorization.

506264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 506264 is about 711.5223116670. The cubic root of 506264 is about 79.7001273595.

Adding to 506264 its reverse (462605), we get a palindrome (968869).

The spelling of 506264 in words is "five hundred six thousand, two hundred sixty-four".