45609184 has 48 divisors (see below), whose sum is σ = 96768000. Its totient is φ = 21098880.

The previous prime is 45609167. The next prime is 45609191. The reversal of 45609184 is 48190654.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21817 + ... + 23815.

It is an arithmetic number, because the mean of its divisors is an integer number (2016000).

Almost surely, 2^45609184 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 45609184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

45609184 is an abundant number, since it is smaller than the sum of its proper divisors (51158816).

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

45609184 is a wasteful number, since it uses less digits than its factorization.

45609184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 45609184 is about 6753.4571887293. The cubic root of 45609184 is about 357.2871806188.

The spelling of 45609184 in words is "forty-five million, six hundred nine thousand, one hundred eighty-four".