44904144 has 80 divisors (see below), whose sum is σ = 124545600. Its totient is φ = 13897728.

The previous prime is 44904127. The next prime is 44904161. The reversal of 44904144 is 44140944.

44904144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44904127) and next prime (44904161).

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 15 ways as a sum of consecutive naturals, for example, 47872 + ... + 48800.

It is an arithmetic number, because the mean of its divisors is an integer number (1556820).

Almost surely, 2^44904144 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 44904144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62272800).

44904144 is an abundant number, since it is smaller than the sum of its proper divisors (79641456).

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

44904144 is a wasteful number, since it uses less digits than its factorization.

44904144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 44904144 is about 6701.0554392573. The cubic root of 44904144 is about 355.4365956780.

The spelling of 44904144 in words is "forty-four million, nine hundred four thousand, one hundred forty-four".