44490960 has 120 divisors (see below), whose sum is σ = 152014824. Its totient is φ = 11658240.

The previous prime is 44490949. The next prime is 44490973. The reversal of 44490960 is 6909444.

It can be written as a sum of positive squares in 4 ways, for example, as 5253264 + 39237696 = 2292^2 + 6264^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43414 + ... + 44426.

Almost surely, 2^44490960 is an apocalyptic number.

44490960 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 44490960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76007412).

44490960 is an abundant number, since it is smaller than the sum of its proper divisors (107523864).

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

44490960 is a wasteful number, since it uses less digits than its factorization.

44490960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 44490960 is about 6670.1544210011. The cubic root of 44490960 is about 354.3430553589.

The spelling of 44490960 in words is "forty-four million, four hundred ninety thousand, nine hundred sixty".