199950804 has 72 divisors (see below), whose sum is σ = 538829928. Its totient is φ = 62300160.

The previous prime is 199950791. The next prime is 199950827. The reversal of 199950804 is 408059991.

199950804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26501904 + 173448900 = 5148^2 + 13170^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 199950804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95044 + ... + 97124.

It is an arithmetic number, because the mean of its divisors is an integer number (7483749).

Almost surely, 2^199950804 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 199950804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269414964).

199950804 is an abundant number, since it is smaller than the sum of its proper divisors (338879124).

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

199950804 is a wasteful number, since it uses less digits than its factorization.

199950804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 199950804 is about 14140.3961754966. The cubic root of 199950804 is about 584.7555937182.

The spelling of 199950804 in words is "one hundred ninety-nine million, nine hundred fifty thousand, eight hundred four".