1000204200 has 240 divisors, whose sum is σ = 3595333500. Its totient is φ = 257402880.

The previous prime is 1000204189. The next prime is 1000204201. The reversal of 1000204200 is 24020001.

It can be written as a sum of positive squares in 6 ways, for example, as 252619236 + 747584964 = 15894^2 + 27342^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000204201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 468736 + ... + 470864.

Almost surely, 2^1000204200 is an apocalyptic number.

1000204200 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 1000204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797666750).

1000204200 is an abundant number, since it is smaller than the sum of its proper divisors (2595129300).

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

1000204200 is a wasteful number, since it uses less digits than its factorization.

1000204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1000204200 is about 31626.0051223673. The cubic root of 1000204200 is about 1000.0680620341.

Adding to 1000204200 its reverse (24020001), we get a palindrome (1024224201).

The spelling of 1000204200 in words is "one billion, two hundred four thousand, two hundred".