45086784 has 56 divisors (see below), whose sum is σ = 119786400. Its totient is φ = 14966784.

The previous prime is 45086773. The next prime is 45086807. The reversal of 45086784 is 48768054.

45086784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 85947 + ... + 86469.

Almost surely, 2^45086784 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 45086784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59893200).

45086784 is an abundant number, since it is smaller than the sum of its proper divisors (74699616).

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

45086784 is a wasteful number, since it uses less digits than its factorization.

45086784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 45086784 is about 6714.6693142701. The cubic root of 45086784 is about 355.9178365281.

The spelling of 45086784 in words is "forty-five million, eighty-six thousand, seven hundred eighty-four".