444224000 has 160 divisors (see below), whose sum is σ = 1210315392. Its totient is φ = 161280000.

The previous prime is 444223999. The next prime is 444224023. The reversal of 444224000 is 422444.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703685 + ... + 704315.

Almost surely, 2^444224000 is an apocalyptic number.

444224000 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 444224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605157696).

444224000 is an abundant number, since it is smaller than the sum of its proper divisors (766091392).

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

444224000 is an equidigital number, since it uses as much as digits as its factorization.

444224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 444224000 is about 21076.6221202545. The cubic root of 444224000 is about 763.0166345549.

Adding to 444224000 its reverse (422444), we get a palindrome (444646444).

The spelling of 444224000 in words is "four hundred forty-four million, two hundred twenty-four thousand".