444888444 has 324 divisors, whose sum is σ = 1476111672. Its totient is φ = 103783680.

The previous prime is 444888427. The next prime is 444888503.

444888444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444888444² = 395851455209482272, which contains 22 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444888393 and 444888402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12023994 + ... + 12024030.

Almost surely, 2^444888444 is an apocalyptic number.

444888444 is a gapful number since it is divisible by the number (44) 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 444888444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738055836).

444888444 is an abundant number, since it is smaller than the sum of its proper divisors (1031223228).

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

444888444 is a wasteful number, since it uses less digits than its factorization.

444888444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 73 counting only the distinct ones).

The product of its digits is 2097152, while the sum is 48.

The square root of 444888444 is about 21092.3788132112. The cubic root of 444888444 is about 763.3968700993.

Multiplying 444888444 by its sum of digits (48), we get a palindrome (21354645312).

It can be divided in two parts, 444 and 888444, that added together give a palindrome (888888).

The spelling of 444888444 in words is "four hundred forty-four million, eight hundred eighty-eight thousand, four hundred forty-four".