508032 has 120 divisors (see below), whose sum is σ = 1758735. Its totient is φ = 145152.

The previous prime is 508021. The next prime is 508033. The reversal of 508032 is 230805.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 254016 = 504^2 + 504^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=504.

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

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 507996 and 508014.

It is not an unprimeable number, because it can be changed into a prime (508033) by changing a digit.

508032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 72573 + ... + 72579.

2⁵⁰⁸⁰³² 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 508032

508032 is an abundant number, since it is smaller than the sum of its proper divisors (1250703).

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

508032 is an equidigital number, since it uses as much as digits as its factorization.

508032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 508032 is about 712.7636354360. The cubic root of 508032 is about 79.7927971338.

Multiplying 508032 by its sum of digits (18), we get a square (9144576 = 3024²).

508032 divided by its sum of digits (18) gives a square (28224 = 168²).

Adding to 508032 its reverse (230805), we get a palindrome (738837).

It can be divided in two parts, 50803 and 2, that added together give a palindrome (50805).

The spelling of 508032 in words is "five hundred eight thousand, thirty-two".