444124800 has 288 divisors, whose sum is σ = 1811952480. Its totient is φ = 101468160.

The previous prime is 444124771. The next prime is 444124823. The reversal of 444124800 is 8421444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 200499 + ... + 202701.

Almost surely, 2^444124800 is an apocalyptic number.

444124800 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 444124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905976240).

444124800 is an abundant number, since it is smaller than the sum of its proper divisors (1367827680).

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

444124800 is a wasteful number, since it uses less digits than its factorization.

444124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 444124800 is about 21074.2686705850. The cubic root of 444124800 is about 762.9598337179.

It can be divided in two parts, 4441 and 24800, that added together give a square (29241 = 171²).

The spelling of 444124800 in words is "four hundred forty-four million, one hundred twenty-four thousand, eight hundred".