444019440 has 80 divisors (see below), whose sum is σ = 1390723488. Its totient is φ = 117178368.

The previous prime is 444019409. The next prime is 444019441. The reversal of 444019440 is 44910444.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 444019398 and 444019407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444019441) 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, 13744 + ... + 32816.

Almost surely, 2^444019440 is an apocalyptic number.

444019440 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 444019440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695361744).

444019440 is an abundant number, since it is smaller than the sum of its proper divisors (946704048).

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

444019440 is a wasteful number, since it uses less digits than its factorization.

444019440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19186 (or 19180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 444019440 is about 21071.7687914423. The cubic root of 444019440 is about 762.8994964692.

Adding to 444019440 its reverse (44910444), we get a palindrome (488929884).

The spelling of 444019440 in words is "four hundred forty-four million, nineteen thousand, four hundred forty".