506232 has 48 divisors (see below), whose sum is σ = 1404000. Its totient is φ = 164736.

The previous prime is 506213. The next prime is 506251. The reversal of 506232 is 232605.

506232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (506213) and next prime (506251).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 506232.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5644 + ... + 5732.

It is an arithmetic number, because the mean of its divisors is an integer number (29250).

2⁵⁰⁶²³² is an apocalyptic number.

It is a pronic number, being equal to 711×712.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702000).

506232 is an abundant number, since it is smaller than the sum of its proper divisors (897768).

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

506232 is a wasteful number, since it uses less digits than its factorization.

506232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 506232 is about 711.4998243148. The cubic root of 506232 is about 79.6984480921.

Adding to 506232 its reverse (232605), we get a palindrome (738837).

It can be divided in two parts, 50623 and 2, that added together give a 4-th power (50625 = 15⁴).

The spelling of 506232 in words is "five hundred six thousand, two hundred thirty-two".