444100000 has 72 divisors (see below), whose sum is σ = 1093078476. Its totient is φ = 177600000.

The previous prime is 444099989. The next prime is 444100003. The reversal of 444100000 is 1444.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 71301136 + 372798864 = 8444^2 + 19308^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (444100003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97780 + ... + 102220.

Almost surely, 2^444100000 is an apocalyptic number.

444100000 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 444100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546539238).

444100000 is an abundant number, since it is smaller than the sum of its proper divisors (648978476).

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

444100000 is an frugal number, since it uses more digits than its factorization.

444100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 444100000 is about 21073.6802671010. The cubic root of 444100000 is about 762.9456321871.

Adding to 444100000 its reverse (1444), we get a palindrome (444101444).

The spelling of 444100000 in words is "four hundred forty-four million, one hundred thousand".