1985388200 has 48 divisors (see below), whose sum is σ = 4626517500. Its totient is φ = 792350720.

The previous prime is 1985388199. The next prime is 1985388203. The reversal of 1985388200 is 28835891.

It can be written as a sum of positive squares in 6 ways, for example, as 429401284 + 1555986916 = 20722^2 + 39446^2 .

It is not an unprimeable number, because it can be changed into a prime (1985388203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78746 + ... + 100854.

Almost surely, 2^1985388200 is an apocalyptic number.

1985388200 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 1985388200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313258750).

1985388200 is an abundant number, since it is smaller than the sum of its proper divisors (2641129300).

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

1985388200 is a wasteful number, since it uses less digits than its factorization.

1985388200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22574 (or 22565 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 1985388200 is about 44557.6951827628. The cubic root of 1985388200 is about 1256.8452614889.

The spelling of 1985388200 in words is "one billion, nine hundred eighty-five million, three hundred eighty-eight thousand, two hundred".