44404200 has 120 divisors (see below), whose sum is σ = 154278630. Its totient is φ = 11836800.

The previous prime is 44404177. The next prime is 44404201. The reversal of 44404200 is 240444.

It is a happy number.

44404200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 28579716 + 15824484 = 5346^2 + 3978^2 .

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 (18).

It is not an unprimeable number, because it can be changed into a prime (44404201) 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 29 ways as a sum of consecutive naturals, for example, 14830 + ... + 17570.

Almost surely, 2^44404200 is an apocalyptic number.

44404200 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 44404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77139315).

44404200 is an abundant number, since it is smaller than the sum of its proper divisors (109874430).

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

44404200 is a wasteful number, since it uses less digits than its factorization.

44404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 44404200 is about 6663.6476497486. The cubic root of 44404200 is about 354.1125755147.

Adding to 44404200 its reverse (240444), we get a palindrome (44644644).

The spelling of 44404200 in words is "forty-four million, four hundred four thousand, two hundred".