444002100 has 72 divisors (see below), whose sum is σ = 1297208640. Its totient is φ = 117242880.

The previous prime is 444002087. The next prime is 444002101. The reversal of 444002100 is 1200444.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 444002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444002101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23716 + ... + 38084.

Almost surely, 2^444002100 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 444002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648604320).

444002100 is an abundant number, since it is smaller than the sum of its proper divisors (853206540).

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

444002100 is a wasteful number, since it uses less digits than its factorization.

444002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14489 (or 14482 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 444002100 is about 21071.3573364413. The cubic root of 444002100 is about 762.8895653353.

Adding to 444002100 its reverse (1200444), we get a palindrome (445202544).

The spelling of 444002100 in words is "four hundred forty-four million, two thousand, one hundred".