45385984 has 144 divisors (see below), whose sum is σ = 115118080. Its totient is φ = 17418240.

The previous prime is 45385979. The next prime is 45386021. The reversal of 45385984 is 48958354.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055467 + ... + 1055509.

Almost surely, 2^45385984 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 45385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57559040).

45385984 is an abundant number, since it is smaller than the sum of its proper divisors (69732096).

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

45385984 is a wasteful number, since it uses less digits than its factorization.

45385984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The square root of 45385984 is about 6736.9120522685. The cubic root of 45385984 is about 356.7034024331.

The spelling of 45385984 in words is "forty-five million, three hundred eighty-five thousand, nine hundred eighty-four".