506224 has 20 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 244160.

The previous prime is 506213. The next prime is 506251. The reversal of 506224 is 422605.

506224 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 unprimeable number.

506224 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 in 3 ways as a sum of consecutive naturals, for example, 82 + ... + 1009.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

2⁵⁰⁶²²⁴ is an apocalyptic number.

It is an amenable number.

506224 is an abundant number, since it is smaller than the sum of its proper divisors (509336).

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

506224 is a wasteful number, since it uses less digits than its factorization.

506224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 506224 is about 711.4942023657. The cubic root of 506224 is about 79.6980282642.

Adding to 506224 its reverse (422605), we get a palindrome (928829).

The spelling of 506224 in words is "five hundred six thousand, two hundred twenty-four".