45916884 has 72 divisors (see below), whose sum is σ = 128098152. Its totient is φ = 13777920.

The previous prime is 45916877. The next prime is 45916903. The reversal of 45916884 is 48861954.

45916884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7128900 + 38787984 = 2670^2 + 6228^2 .

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 23 ways as a sum of consecutive naturals, for example, 17992 + ... + 20384.

It is an arithmetic number, because the mean of its divisors is an integer number (1779141).

Almost surely, 2^45916884 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 45916884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64049076).

45916884 is an abundant number, since it is smaller than the sum of its proper divisors (82181268).

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

45916884 is a wasteful number, since it uses less digits than its factorization.

45916884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2452 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 45916884 is about 6776.1998199581. The cubic root of 45916884 is about 358.0888536565.

The spelling of 45916884 in words is "forty-five million, nine hundred sixteen thousand, eight hundred eighty-four".