199838408 has 64 divisors (see below), whose sum is σ = 476046720. Its totient is φ = 76377600.

The previous prime is 199838399. The next prime is 199838411. The reversal of 199838408 is 804838991.

199838408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29588 + ... + 35708.

It is an arithmetic number, because the mean of its divisors is an integer number (7438230).

Almost surely, 2^199838408 is an apocalyptic number.

199838408 is the 8162-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199838408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238023360).

199838408 is an abundant number, since it is smaller than the sum of its proper divisors (276208312).

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

199838408 is a wasteful number, since it uses less digits than its factorization.

199838408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6198 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The square root of 199838408 is about 14136.4213293181. The cubic root of 199838408 is about 584.6460059144.

The spelling of 199838408 in words is "one hundred ninety-nine million, eight hundred thirty-eight thousand, four hundred eight".