45808 has 20 divisors (see below), whose sum is σ = 101680. Its totient is φ = 19584.

The previous prime is 45779. The next prime is 45817. The reversal of 45808 is 80854.

45808 is nontrivially palindromic in base 15.

45808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

45808 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 3 ways as a sum of consecutive naturals, for example, 93 + ... + 316.

It is an arithmetic number, because the mean of its divisors is an integer number (5084).

2⁴⁵⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

45808 is an abundant number, since it is smaller than the sum of its proper divisors (55872).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50840).

45808 is a wasteful number, since it uses less digits than its factorization.

45808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 45808 is about 214.0280355467. The cubic root of 45808 is about 35.7805580900.

It can be divided in two parts, 4 and 5808, that multiplied together give a palindrome (23232).

The spelling of 45808 in words is "forty-five thousand, eight hundred eight".