44949120 has 128 divisors (see below), whose sum is σ = 147026880. Its totient is φ = 11673600.

The previous prime is 44949103. The next prime is 44949127. The reversal of 44949120 is 2194944.

44949120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (44949127) by changing a digit.

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, 78435 + ... + 79005.

Almost surely, 2^44949120 is an apocalyptic number.

44949120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440).

44949120 is an abundant number, since it is smaller than the sum of its proper divisors (102077760).

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

44949120 is a wasteful number, since it uses less digits than its factorization.

44949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 44949120 is about 6704.4104886261. The cubic root of 44949120 is about 355.5552245367. Note that the first 3 decimals are identical.

The spelling of 44949120 in words is "forty-four million, nine hundred forty-nine thousand, one hundred twenty".