305808 has 40 divisors (see below), whose sum is σ = 827328. Its totient is φ = 97152.

The previous prime is 305803. The next prime is 305821. The reversal of 305808 is 808503.

It is a Cunningham number, because it is equal to 553²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305808.

It is not an unprimeable number, because it can be changed into a prime (305803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 966 + ... + 1242.

2³⁰⁵⁸⁰⁸ 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 305808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413664).

305808 is an abundant number, since it is smaller than the sum of its proper divisors (521520).

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

305808 is a wasteful number, since it uses less digits than its factorization.

305808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 305808 is about 552.9990958401. Note that the first 3 decimals coincide. The cubic root of 305808 is about 67.3725441213.

The spelling of 305808 in words is "three hundred five thousand, eight hundred eight".