44022400 has 48 divisors (see below), whose sum is σ = 108756990. Its totient is φ = 17607680.

The previous prime is 44022379. The next prime is 44022421. The reversal of 44022400 is 422044.

44022400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44022379) and next prime (44022421).

It can be written as a sum of positive squares in 3 ways, for example, as 20286016 + 23736384 = 4504^2 + 4872^2 .

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

It is an unprimeable number.

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, 3679 + ... + 10078.

Almost surely, 2^44022400 is an apocalyptic number.

44022400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44022400 is an abundant number, since it is smaller than the sum of its proper divisors (64734590).

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

44022400 is a wasteful number, since it uses less digits than its factorization.

44022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13781 (or 13764 counting only the distinct ones).

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

The square root of 44022400 is about 6634.9378293998. The cubic root of 44022400 is about 353.0947323106.

Adding to 44022400 its reverse (422044), we get a palindrome (44444444).

The spelling of 44022400 in words is "forty-four million, twenty-two thousand, four hundred".