508380 has 48 divisors (see below), whose sum is σ = 1468320. Its totient is φ = 131328.

The previous prime is 508373. The next prime is 508393. The reversal of 508380 is 83805.

It is a self number, because there is not a number n which added to its sum of digits gives 508380.

It is a congruent number.

It is an unprimeable number.

508380 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 15 ways as a sum of consecutive naturals, for example, 2106 + ... + 2334.

It is an arithmetic number, because the mean of its divisors is an integer number (30590).

2⁵⁰⁸³⁸⁰ 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 508380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734160).

508380 is an abundant number, since it is smaller than the sum of its proper divisors (959940).

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

508380 is a wasteful number, since it uses less digits than its factorization.

508380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 508380 is about 713.0077138433. The cubic root of 508380 is about 79.8110122302.

It can be divided in two parts, 508 and 380, that added together give a palindrome (888).

The spelling of 508380 in words is "five hundred eight thousand, three hundred eighty".