45379584 has 78 divisors (see below), whose sum is σ = 131187056. Its totient is φ = 15114240.

The previous prime is 45379583. The next prime is 45379601. The reversal of 45379584 is 48597354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45379583) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36249 + ... + 37479.

Almost surely, 2^45379584 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 45379584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65593528).

45379584 is an abundant number, since it is smaller than the sum of its proper divisors (85807472).

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

45379584 is a wasteful number, since it uses less digits than its factorization.

45379584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1236 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 45379584 is about 6736.4370404540. The cubic root of 45379584 is about 356.6866350754.

The spelling of 45379584 in words is "forty-five million, three hundred seventy-nine thousand, five hundred eighty-four".