200444100 has 72 divisors (see below), whose sum is σ = 584629248. Its totient is φ = 53020800.

The previous prime is 200444099. The next prime is 200444117. The reversal of 200444100 is 1444002.

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 200444100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35470 + ... + 40730.

Almost surely, 2^200444100 is an apocalyptic number.

200444100 is a gapful number since it is divisible by the number (20) 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 200444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292314624).

200444100 is an abundant number, since it is smaller than the sum of its proper divisors (384185148).

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

200444100 is a wasteful number, since it uses less digits than its factorization.

200444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405 (or 5398 counting only the distinct ones).

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

The square root of 200444100 is about 14157.8282232834. The cubic root of 200444100 is about 585.2360797470.

Adding to 200444100 its reverse (1444002), we get a palindrome (201888102).

The spelling of 200444100 in words is "two hundred million, four hundred forty-four thousand, one hundred".