45359808 has 112 divisors (see below), whose sum is σ = 136977120. Its totient is φ = 13123584.

The previous prime is 45359779. The next prime is 45359813. The reversal of 45359808 is 80895354.

It is a self number, because there is not a number n which added to its sum of digits gives 45359808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41898 + ... + 42966.

It is an arithmetic number, because the mean of its divisors is an integer number (1223010).

Almost surely, 2^45359808 is an apocalyptic number.

45359808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45359808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68488560).

45359808 is an abundant number, since it is smaller than the sum of its proper divisors (91617312).

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

45359808 is a wasteful number, since it uses less digits than its factorization.

45359808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 45359808 is about 6734.9690422451. The cubic root of 45359808 is about 356.6348139759.

The spelling of 45359808 in words is "forty-five million, three hundred fifty-nine thousand, eight hundred eight".