444120440 has 64 divisors (see below), whose sum is σ = 1055808000. Its totient is φ = 167667840.

The previous prime is 444120433. The next prime is 444120451. The reversal of 444120440 is 44021444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235421 + ... + 237299.

It is an arithmetic number, because the mean of its divisors is an integer number (16497000).

Almost surely, 2^444120440 is an apocalyptic number.

444120440 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 444120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527904000).

444120440 is an abundant number, since it is smaller than the sum of its proper divisors (611687560).

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

444120440 is a wasteful number, since it uses less digits than its factorization.

444120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 444120440 is about 21074.1652266466. The cubic root of 444120440 is about 762.9573370355.

Adding to 444120440 its reverse (44021444), we get a palindrome (488141884).

The spelling of 444120440 in words is "four hundred forty-four million, one hundred twenty thousand, four hundred forty".