45003584 has 28 divisors (see below), whose sum is σ = 90184224. Its totient is φ = 22280064.

The previous prime is 45003577. The next prime is 45003589. The reversal of 45003584 is 48530054.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45003589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3179 + ... + 10005.

Almost surely, 2^45003584 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 45003584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45092112).

45003584 is an abundant number, since it is smaller than the sum of its proper divisors (45180640).

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

45003584 is a wasteful number, since it uses less digits than its factorization.

45003584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 45003584 is about 6708.4710627683. The cubic root of 45003584 is about 355.6987730914.

The spelling of 45003584 in words is "forty-five million, three thousand, five hundred eighty-four".