444345440 has 96 divisors (see below), whose sum is σ = 1308835584. Its totient is φ = 138493440.

The previous prime is 444345431. The next prime is 444345491. The reversal of 444345440 is 44543444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 444345397 and 444345406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5714 + ... + 30353.

It is an arithmetic number, because the mean of its divisors is an integer number (13633704).

Almost surely, 2^444345440 is an apocalyptic number.

444345440 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 444345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654417792).

444345440 is an abundant number, since it is smaller than the sum of its proper divisors (864490144).

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

444345440 is a wasteful number, since it uses less digits than its factorization.

444345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36100 (or 36092 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

The square root of 444345440 is about 21079.5028404372. The cubic root of 444345440 is about 763.0861582619.

Adding to 444345440 its reverse (44543444), we get a palindrome (488888884).

The spelling of 444345440 in words is "four hundred forty-four million, three hundred forty-five thousand, four hundred forty".