45332784 has 200 divisors, whose sum is σ = 158442240. Its totient is φ = 12223872.

The previous prime is 45332753. The next prime is 45332801. The reversal of 45332784 is 48723354.

It is a happy number.

45332784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45332784² = 4110122610381312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172237 + ... + 172499.

Almost surely, 2^45332784 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 45332784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79221120).

45332784 is an abundant number, since it is smaller than the sum of its proper divisors (113109456).

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

45332784 is a wasteful number, since it uses less digits than its factorization.

45332784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 45332784 is about 6732.9624980390. The cubic root of 45332784 is about 356.5639758322.

The spelling of 45332784 in words is "forty-five million, three hundred thirty-two thousand, seven hundred eighty-four".