45007584 has 48 divisors (see below), whose sum is σ = 120903552. Its totient is φ = 14652288.

The previous prime is 45007583. The next prime is 45007591. The reversal of 45007584 is 48570054.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45007583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1324 + ... + 9579.

It is an arithmetic number, because the mean of its divisors is an integer number (2518824).

Almost surely, 2^45007584 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 45007584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60451776).

45007584 is an abundant number, since it is smaller than the sum of its proper divisors (75895968).

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

45007584 is a wasteful number, since it uses less digits than its factorization.

45007584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10959 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 45007584 is about 6708.7691866690. The cubic root of 45007584 is about 355.7093111627.

The spelling of 45007584 in words is "forty-five million, seven thousand, five hundred eighty-four".