444444 has 96 divisors (see below), whose sum is σ = 1430016. Its totient is φ = 103680.

The previous prime is 444443. The next prime is 444449.

444444 = 51² + 52² + ... + 113².

444444 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

444444 is a modest number, since divided by 4444 gives 44 as remainder.

444444 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11994 + ... + 12030.

It is an arithmetic number, because the mean of its divisors is an integer number (14896).

2⁴⁴⁴⁴⁴⁴ is an apocalyptic number.

444444 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 444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715008).

444444 is an abundant number, since it is smaller than the sum of its proper divisors (985572).

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

444444 is a wasteful number, since it uses less digits than its factorization.

444444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 73 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 444444 is about 666.6663333332. Note that the first 3 decimals coincide. The cubic root of 444444 is about 76.3142573988.

It can be divided in two parts, 444 and 444, that added together give a palindrome (888).

The spelling of 444444 in words is "four hundred forty-four thousand, four hundred forty-four", and thus it is an iban number.