444144400 has 120 divisors (see below), whose sum is σ = 1230080000. Its totient is φ = 150958080.

The previous prime is 444144383. The next prime is 444144419. The reversal of 444144400 is 4441444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 354976 + ... + 356224.

Almost surely, 2^444144400 is an apocalyptic number.

444144400 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 444144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615040000).

444144400 is an abundant number, since it is smaller than the sum of its proper divisors (785935600).

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

444144400 is a wasteful number, since it uses less digits than its factorization.

444144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 444144400 is about 21074.7336875226. The cubic root of 444144400 is about 762.9710571344.

Adding to 444144400 its reverse (4441444), we get a palindrome (448585844).

444144400 divided by its reverse (4441444) gives a square (100 = 10²).

It can be divided in two parts, 4441 and 44400, that added together give a square (48841 = 221²).

The spelling of 444144400 in words is "four hundred forty-four million, one hundred forty-four thousand, four hundred".