444401100 has 288 divisors, whose sum is σ = 1679892480. Its totient is φ = 99360000.

The previous prime is 444401099. The next prime is 444401107. The reversal of 444401100 is 1104444.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (444401107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385525 + ... + 386675.

It is an arithmetic number, because the mean of its divisors is an integer number (5832960).

Almost surely, 2^444401100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839946240).

444401100 is an abundant number, since it is smaller than the sum of its proper divisors (1235491380).

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

444401100 is a wasteful number, since it uses less digits than its factorization.

444401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 444401100 is about 21080.8230389613. The cubic root of 444401100 is about 763.1180190609.

Adding to 444401100 its reverse (1104444), we get a palindrome (445505544).

The spelling of 444401100 in words is "four hundred forty-four million, four hundred one thousand, one hundred".