45915984 has 100 divisors (see below), whose sum is σ = 135036000. Its totient is φ = 15059520.

The previous prime is 45915979. The next prime is 45916007. The reversal of 45915984 is 48951954.

45915984 is a `hidden beast` number, since 4 + 59 + 1 + 598 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91767 + ... + 92265.

It is an arithmetic number, because the mean of its divisors is an integer number (1350360).

Almost surely, 2^45915984 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 45915984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67518000).

45915984 is an abundant number, since it is smaller than the sum of its proper divisors (89120016).

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

45915984 is a wasteful number, since it uses less digits than its factorization.

45915984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 45915984 is about 6776.1334107292. The cubic root of 45915984 is about 358.0865140518.

The spelling of 45915984 in words is "forty-five million, nine hundred fifteen thousand, nine hundred eighty-four".