44044000 has 288 divisors, whose sum is σ = 146397888. Its totient is φ = 12672000.

The previous prime is 44043977. The next prime is 44044003. The reversal of 44044000 is 44044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44044003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3387994 + ... + 3388006.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 2^44044000 is an apocalyptic number.

44044000 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 44044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198944).

44044000 is an abundant number, since it is smaller than the sum of its proper divisors (102353888).

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

44044000 is a wasteful number, since it uses less digits than its factorization.

44044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 44044000 is about 6636.5653767593. The cubic root of 44044000 is about 353.1524726061.

Adding to 44044000 its reverse (44044), we get a palindrome (44088044).

44044000 divided by its reverse (44044) gives a cube (1000 = 10³).

It can be divided in two parts, 440 and 44000, that multiplied together give a square (19360000 = 4400²).

The spelling of 44044000 in words is "forty-four million, forty-four thousand", and thus it is an eban number.