444442400 has 72 divisors (see below), whose sum is σ = 1122467220. Its totient is φ = 171637760.

The previous prime is 444442391. The next prime is 444442417. The reversal of 444442400 is 4244444.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 52243984 + 392198416 = 7228^2 + 19804^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444442400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13622 + ... + 32778.

Almost surely, 2^444442400 is an apocalyptic number.

444442400 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 444442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561233610).

444442400 is an abundant number, since it is smaller than the sum of its proper divisors (678024820).

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

444442400 is a wasteful number, since it uses less digits than its factorization.

444442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19206 (or 19193 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 444442400 is about 21081.8025794760. The cubic root of 444442400 is about 763.1416582148.

Adding to 444442400 its reverse (4244444), we get a palindrome (448686844).

It can be divided in two parts, 44 and 4442400, that added together give a palindrome (4442444).

The spelling of 444442400 in words is "four hundred forty-four million, four hundred forty-two thousand, four hundred".