45914480 has 40 divisors (see below), whose sum is σ = 107545200. Its totient is φ = 18229248.

The previous prime is 45914459. The next prime is 45914513. The reversal of 45914480 is 8441954.

It is a happy number.

45914480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 45914480.

It is a congruent number.

It is an unprimeable number.

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, 9056 + ... + 13184.

It is an arithmetic number, because the mean of its divisors is an integer number (2688630).

Almost surely, 2^45914480 is an apocalyptic number.

45914480 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 45914480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53772600).

45914480 is an abundant number, since it is smaller than the sum of its proper divisors (61630720).

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

45914480 is a wasteful number, since it uses less digits than its factorization.

45914480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 45914480 is about 6776.0224320762. The cubic root of 45914480 is about 358.0826042441.

The spelling of 45914480 in words is "forty-five million, nine hundred fourteen thousand, four hundred eighty".