505876008 has 64 divisors (see below), whose sum is σ = 1382054400. Its totient is φ = 153030080.

The previous prime is 505876001. The next prime is 505876061. The reversal of 505876008 is 800678505.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (505876001) by changing a digit.

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, 194863 + ... + 197441.

It is an arithmetic number, because the mean of its divisors is an integer number (21594600).

Almost surely, 2^505876008 is an apocalyptic number.

It is an amenable number.

505876008 is an abundant number, since it is smaller than the sum of its proper divisors (876178392).

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

505876008 is a wasteful number, since it uses less digits than its factorization.

505876008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 505876008 is about 22491.6875311747. The cubic root of 505876008 is about 796.7976188821.

The spelling of 505876008 in words is "five hundred five million, eight hundred seventy-six thousand, eight".