505859208 has 64 divisors (see below), whose sum is σ = 1342008000. Its totient is φ = 158349312.

The previous prime is 505859201. The next prime is 505859213. The reversal of 505859208 is 802958505.

It is a self number, because there is not a number n which added to its sum of digits gives 505859208.

It is not an unprimeable number, because it can be changed into a prime (505859201) 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, 231063 + ... + 233241.

It is an arithmetic number, because the mean of its divisors is an integer number (20968875).

Almost surely, 2^505859208 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 505859208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671004000).

505859208 is an abundant number, since it is smaller than the sum of its proper divisors (836148792).

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

505859208 is a wasteful number, since it uses less digits than its factorization.

505859208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 505859208 is about 22491.3140567642. The cubic root of 505859208 is about 796.7887983095.

The spelling of 505859208 in words is "five hundred five million, eight hundred fifty-nine thousand, two hundred eight".