45894384 has 160 divisors (see below), whose sum is σ = 142848000. Its totient is φ = 14065920.

The previous prime is 45894379. The next prime is 45894403. The reversal of 45894384 is 48349854.

It is a happy number.

45894384 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.

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 31 ways as a sum of consecutive naturals, for example, 307942 + ... + 308090.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 2^45894384 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 45894384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

45894384 is an abundant number, since it is smaller than the sum of its proper divisors (96953616).

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

45894384 is a wasteful number, since it uses less digits than its factorization.

45894384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 45894384 is about 6774.5393939367. The cubic root of 45894384 is about 358.0303543647.

The spelling of 45894384 in words is "forty-five million, eight hundred ninety-four thousand, three hundred eighty-four".