508982814 has 24 divisors (see below), whose sum is σ = 1103230440. Its totient is φ = 169594128.

The previous prime is 508982813. The next prime is 508982821. The reversal of 508982814 is 418289805.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 508982814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508982813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66897 + ... + 74115.

It is an arithmetic number, because the mean of its divisors is an integer number (45967935).

Almost surely, 2^508982814 is an apocalyptic number.

508982814 is an abundant number, since it is smaller than the sum of its proper divisors (594247626).

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

508982814 is a wasteful number, since it uses less digits than its factorization.

508982814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11144 (or 11141 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 508982814 is about 22560.6474641133. The cubic root of 508982814 is about 798.4254519897.

It can be divided in two parts, 508982 and 814, that added together give a square (509796 = 714²).

The spelling of 508982814 in words is "five hundred eight million, nine hundred eighty-two thousand, eight hundred fourteen".