444422400 has 216 divisors, whose sum is σ = 1490321280. Its totient is φ = 116613120.

The previous prime is 444422389. The next prime is 444422423. The reversal of 444422400 is 4224444.

It is a super-3 number, since 3×444422400³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1516654 + ... + 1516946.

Almost surely, 2^444422400 is an apocalyptic number.

444422400 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 444422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745160640).

444422400 is an abundant number, since it is smaller than the sum of its proper divisors (1045898880).

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

444422400 is a wasteful number, since it uses less digits than its factorization.

444422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 444422400 is about 21081.3282313995. The cubic root of 444422400 is about 763.1302108655.

Adding to 444422400 its reverse (4224444), we get a palindrome (448646844).

The spelling of 444422400 in words is "four hundred forty-four million, four hundred twenty-two thousand, four hundred".