44014400 has 42 divisors (see below), whose sum is σ = 108306870. Its totient is φ = 17605120.

The previous prime is 44014381. The next prime is 44014409. The reversal of 44014400 is 441044.

44014400 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 30976 + 43983424 = 176^2 + 6632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44014409) 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 5 ways as a sum of consecutive naturals, for example, 12155 + ... + 15354.

It is an arithmetic number, because the mean of its divisors is an integer number (2578735).

Almost surely, 2^44014400 is an apocalyptic number.

44014400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44014400 is an abundant number, since it is smaller than the sum of its proper divisors (64292470).

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

44014400 is a wasteful number, since it uses less digits than its factorization.

44014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27531 (or 27516 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 44014400 is about 6634.3349327570. The cubic root of 44014400 is about 353.0733422229.

Adding to 44014400 its reverse (441044), we get a palindrome (44455444).

The spelling of 44014400 in words is "forty-four million, fourteen thousand, four hundred".