507232 has 36 divisors (see below), whose sum is σ = 1106028. Its totient is φ = 228800.

The previous prime is 507217. The next prime is 507289. The reversal of 507232 is 232705.

It is a happy number.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

507232 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 5 ways as a sum of consecutive naturals, for example, 3807 + ... + 3937.

It is an arithmetic number, because the mean of its divisors is an integer number (30723).

2⁵⁰⁷²³² 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 507232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553014).

507232 is an abundant number, since it is smaller than the sum of its proper divisors (598796).

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

507232 is a wasteful number, since it uses less digits than its factorization.

507232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 507232 is about 712.2022184745. The cubic root of 507232 is about 79.7508917855.

Adding to 507232 its reverse (232705), we get a palindrome (739937).

The spelling of 507232 in words is "five hundred seven thousand, two hundred thirty-two".