444741120 has 240 divisors, whose sum is σ = 1563962400. Its totient is φ = 116785152.

The previous prime is 444741107. The next prime is 444741139. The reversal of 444741120 is 21147444.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2234781 + ... + 2234979.

It is an arithmetic number, because the mean of its divisors is an integer number (6516510).

Almost surely, 2^444741120 is an apocalyptic number.

444741120 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 444741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781981200).

444741120 is an abundant number, since it is smaller than the sum of its proper divisors (1119221280).

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

444741120 is a wasteful number, since it uses less digits than its factorization.

444741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 444741120 is about 21088.8861725791. The cubic root of 444741120 is about 763.3125949672.

Adding to 444741120 its reverse (21147444), we get a palindrome (465888564).

The spelling of 444741120 in words is "four hundred forty-four million, seven hundred forty-one thousand, one hundred twenty".