45840384 has 96 divisors (see below), whose sum is σ = 135954000. Its totient is φ = 15261696.

The previous prime is 45840349. The next prime is 45840391. The reversal of 45840384 is 48304854.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54882 + ... + 55710.

Almost surely, 2^45840384 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 45840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67977000).

45840384 is an abundant number, since it is smaller than the sum of its proper divisors (90113616).

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

45840384 is an equidigital number, since it uses as much as digits as its factorization.

45840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 45840384 is about 6770.5527100821. The cubic root of 45840384 is about 357.8898780133.

The spelling of 45840384 in words is "forty-five million, eight hundred forty thousand, three hundred eighty-four".