444404000 has 96 divisors (see below), whose sum is σ = 1098809712. Its totient is φ = 176640000.

The previous prime is 444403997. The next prime is 444404017. The reversal of 444404000 is 404444.

It can be written as a sum of positive squares in 8 ways, for example, as 21196816 + 423207184 = 4604^2 + 20572^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963770 + ... + 964230.

Almost surely, 2^444404000 is an apocalyptic number.

444404000 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 444404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549404856).

444404000 is an abundant number, since it is smaller than the sum of its proper divisors (654405712).

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

444404000 is a wasteful number, since it uses less digits than its factorization.

444404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 444404000 is about 21080.8918217423. The cubic root of 444404000 is about 763.1196790009.

Adding to 444404000 its reverse (404444), we get a palindrome (444808444).

It can be divided in two parts, 44 and 4404000, that added together give a palindrome (4404044).

The spelling of 444404000 in words is "four hundred forty-four million, four hundred four thousand".