508320 has 72 divisors (see below), whose sum is σ = 1739556. Its totient is φ = 135168.

The previous prime is 508301. The next prime is 508327. The reversal of 508320 is 23805.

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 7056 = 708^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 508293 and 508302.

It is not an unprimeable number, because it can be changed into a prime (508327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1264 + ... + 1616.

2⁵⁰⁸³²⁰ 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 508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869778).

508320 is an abundant number, since it is smaller than the sum of its proper divisors (1231236).

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

508320 is a wasteful number, since it uses less digits than its factorization.

508320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

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

The square root of 508320 is about 712.9656373206. The cubic root of 508320 is about 79.8078722895.

It can be divided in two parts, 508 and 320, that added together give a palindrome (828).

The spelling of 508320 in words is "five hundred eight thousand, three hundred twenty".