505908 has 72 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 145728.

The previous prime is 505907. The next prime is 505919. The reversal of 505908 is 809505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10741 + ... + 10787.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2⁵⁰⁵⁹⁰⁸ 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 505908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

505908 is an abundant number, since it is smaller than the sum of its proper divisors (961740).

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

505908 is a wasteful number, since it uses less digits than its factorization.

505908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 505908 is about 711.2720998324. The cubic root of 505908 is about 79.6814415233.

The spelling of 505908 in words is "five hundred five thousand, nine hundred eight".