444444400 has 60 divisors (see below), whose sum is σ = 1072476000. Its totient is φ = 176995840.

The previous prime is 444444391. The next prime is 444444421. The reversal of 444444400 is 4444444.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

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, 93276 + ... + 97924.

It is an arithmetic number, because the mean of its divisors is an integer number (17874600).

Almost surely, 2^444444400 is an apocalyptic number.

444444400 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 444444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536238000).

444444400 is an abundant number, since it is smaller than the sum of its proper divisors (628031600).

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

444444400 is a wasteful number, since it uses less digits than its factorization.

444444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 444444400 is about 21081.8500136966. The cubic root of 444444400 is about 763.1428029308.

Adding to 444444400 its reverse (4444444), we get a palindrome (448888844).

444444400 divided by its reverse (4444444) gives a square (100 = 10²).

It can be divided in two parts, 44 and 4444400, that added together give a palindrome (4444444).

The spelling of 444444400 in words is "four hundred forty-four million, four hundred forty-four thousand, four hundred".