444443440 has 80 divisors (see below), whose sum is σ = 1243134720. Its totient is φ = 144357120.

The previous prime is 444443413. The next prime is 444443443. The reversal of 444443440 is 44344444.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (444443443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10246 + ... + 31525.

It is an arithmetic number, because the mean of its divisors is an integer number (15539184).

Almost surely, 2^444443440 is an apocalyptic number.

444443440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444443440 is an abundant number, since it is smaller than the sum of its proper divisors (798691280).

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

444443440 is a wasteful number, since it uses less digits than its factorization.

444443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41810 (or 41804 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

The square root of 444443440 is about 21081.8272452840. The cubic root of 444443440 is about 763.1422534675.

Adding to 444443440 its reverse (44344444), we get a palindrome (488787884).

The spelling of 444443440 in words is "four hundred forty-four million, four hundred forty-three thousand, four hundred forty".