444424120 has 96 divisors (see below), whose sum is σ = 1170132480. Its totient is φ = 151468800.

The previous prime is 444424111. The next prime is 444424121. The reversal of 444424120 is 21424444.

It is a super-3 number, since 3×444424120³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444424121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385545 + ... + 386695.

It is an arithmetic number, because the mean of its divisors is an integer number (12188880).

Almost surely, 2^444424120 is an apocalyptic number.

444424120 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 444424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585066240).

444424120 is an abundant number, since it is smaller than the sum of its proper divisors (725708360).

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

444424120 is a wasteful number, since it uses less digits than its factorization.

444424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1362 counting only the distinct ones).

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

The square root of 444424120 is about 21081.3690257535. The cubic root of 444424120 is about 763.1311953510.

Adding to 444424120 its reverse (21424444), we get a palindrome (465848564).

The spelling of 444424120 in words is "four hundred forty-four million, four hundred twenty-four thousand, one hundred twenty".