505008 has 80 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 143424.

The previous prime is 504991. The next prime is 505027. The reversal of 505008 is 800505.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

505008 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, 2941 + ... + 3107.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2⁵⁰⁵⁰⁰⁸ 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 505008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

505008 is an abundant number, since it is smaller than the sum of its proper divisors (1161552).

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

505008 is a wasteful number, since it uses less digits than its factorization.

505008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 505008 is about 710.6391489357. The cubic root of 505008 is about 79.6341629239.

The spelling of 505008 in words is "five hundred five thousand, eight".