1002444200 has 72 divisors (see below), whose sum is σ = 2382376350. Its totient is φ = 392273280.

The previous prime is 1002444187. The next prime is 1002444221. The reversal of 1002444200 is 24442001.

It can be written as a sum of positive squares in 3 ways, for example, as 463368676 + 539075524 = 21526^2 + 23218^2 .

It is a super-2 number, since 2×1002444200² = 2009788748227280000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 440666 + ... + 442934.

Almost surely, 2^1002444200 is an apocalyptic number.

1002444200 is a gapful number since it is divisible by the number (10) 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 1002444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191188175).

1002444200 is an abundant number, since it is smaller than the sum of its proper divisors (1379932150).

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

1002444200 is a wasteful number, since it uses less digits than its factorization.

1002444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1002444200 is about 31661.3992110267. The cubic root of 1002444200 is about 1000.8140704428.

Adding to 1002444200 its reverse (24442001), we get a palindrome (1026886201).

The spelling of 1002444200 in words is "one billion, two million, four hundred forty-four thousand, two hundred".