44048800 has 36 divisors (see below), whose sum is σ = 107536086. Its totient is φ = 17619200.

The previous prime is 44048779. The next prime is 44048831. The reversal of 44048800 is 884044.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 31854736 + 12194064 = 5644^2 + 3492^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26731 + ... + 28330.

Almost surely, 2^44048800 is an apocalyptic number.

44048800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44048800 is an abundant number, since it is smaller than the sum of its proper divisors (63487286).

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

44048800 is a wasteful number, since it uses less digits than its factorization.

44048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55081 (or 55068 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 44048800 is about 6636.9269997492. The cubic root of 44048800 is about 353.1653012191.

The spelling of 44048800 in words is "forty-four million, forty-eight thousand, eight hundred".