444001824 has 168 divisors, whose sum is σ = 1498371840. Its totient is φ = 126811008.

The previous prime is 444001819. The next prime is 444001849. The reversal of 444001824 is 428100444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 161937 + ... + 164655.

It is an arithmetic number, because the mean of its divisors is an integer number (8918880).

Almost surely, 2^444001824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444001824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749185920).

444001824 is an abundant number, since it is smaller than the sum of its proper divisors (1054370016).

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

444001824 is an equidigital number, since it uses as much as digits as its factorization.

444001824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2731 counting only the distinct ones).

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

The square root of 444001824 is about 21071.3507872656. The cubic root of 444001824 is about 762.8894072598.

The spelling of 444001824 in words is "four hundred forty-four million, one thousand, eight hundred twenty-four".