508956 has 48 divisors (see below), whose sum is σ = 1392384. Its totient is φ = 141696.

The previous prime is 508951. The next prime is 508957. The reversal of 508956 is 659805.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508951) by changing a digit.

508956 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 15 ways as a sum of consecutive naturals, for example, 6091 + ... + 6173.

It is an arithmetic number, because the mean of its divisors is an integer number (29008).

2⁵⁰⁸⁹⁵⁶ 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 508956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696192).

508956 is an abundant number, since it is smaller than the sum of its proper divisors (883428).

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

508956 is a wasteful number, since it uses less digits than its factorization.

508956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 508956 is about 713.4115221946. The cubic root of 508956 is about 79.8411430982.

The spelling of 508956 in words is "five hundred eight thousand, nine hundred fifty-six".