199873408 has 64 divisors (see below), whose sum is σ = 467445600. Its totient is φ = 83331072.

The previous prime is 199873391. The next prime is 199873433. The reversal of 199873408 is 804378991.

It is a happy number.

199873408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30138 + ... + 36166.

Almost surely, 2^199873408 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 199873408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233722800).

199873408 is an abundant number, since it is smaller than the sum of its proper divisors (267572192).

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

199873408 is an equidigital number, since it uses as much as digits as its factorization.

199873408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6087 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 199873408 is about 14137.6592121893. The cubic root of 199873408 is about 584.6801358495.

The spelling of 199873408 in words is "one hundred ninety-nine million, eight hundred seventy-three thousand, four hundred eight".