508880008 has 64 divisors (see below), whose sum is σ = 1191980160. Its totient is φ = 198291456.

The previous prime is 508879999. The next prime is 508880027. The reversal of 508880008 is 800088805.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43560 + ... + 53992.

It is an arithmetic number, because the mean of its divisors is an integer number (18624690).

Almost surely, 2^508880008 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 508880008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595990080).

508880008 is an abundant number, since it is smaller than the sum of its proper divisors (683100152).

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

508880008 is a wasteful number, since it uses less digits than its factorization.

508880008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10526 (or 10522 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 508880008 is about 22558.3689126674. The cubic root of 508880008 is about 798.3716921823.

It can be divided in two parts, 5088 and 80008, that multiplied together give a palindrome (407080704).

The spelling of 508880008 in words is "five hundred eight million, eight hundred eighty thousand, eight".