45790880 has 48 divisors (see below), whose sum is σ = 109022760. Its totient is φ = 18173952.

The previous prime is 45790879. The next prime is 45790883. The reversal of 45790880 is 8809754.

45790880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43930384 + 1860496 = 6628^2 + 1364^2 .

It is not an unprimeable number, because it can be changed into a prime (45790883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20876 + ... + 22964.

Almost surely, 2^45790880 is an apocalyptic number.

45790880 is a gapful number since it is divisible by the number (40) 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 45790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54511380).

45790880 is an abundant number, since it is smaller than the sum of its proper divisors (63231880).

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

45790880 is a wasteful number, since it uses less digits than its factorization.

45790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 45790880 is about 6766.8958910271. The cubic root of 45790880 is about 357.7610006607.

The spelling of 45790880 in words is "forty-five million, seven hundred ninety thousand, eight hundred eighty".