508312 has 32 divisors (see below), whose sum is σ = 1130400. Its totient is φ = 209664.

The previous prime is 508301. The next prime is 508327. The reversal of 508312 is 213805.

It is a happy number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 508312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1468 + ... + 1780.

It is an arithmetic number, because the mean of its divisors is an integer number (35325).

2⁵⁰⁸³¹² 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 508312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565200).

508312 is an abundant number, since it is smaller than the sum of its proper divisors (622088).

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

508312 is a wasteful number, since it uses less digits than its factorization.

508312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 508312 is about 712.9600269300. The cubic root of 508312 is about 79.8074536121.

It can be divided in two parts, 508 and 312, that added together give a triangular number (820 = T₄₀).

The spelling of 508312 in words is "five hundred eight thousand, three hundred twelve".