199424 has 36 divisors (see below), whose sum is σ = 429240. Its totient is φ = 92160.

The previous prime is 199417. The next prime is 199429. The reversal of 199424 is 424991.

It is not an unprimeable number, because it can be changed into a prime (199429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4844 + ... + 4884.

2¹⁹⁹⁴²⁴ 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 199424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214620).

199424 is an abundant number, since it is smaller than the sum of its proper divisors (229816).

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

199424 is an equidigital number, since it uses as much as digits as its factorization.

199424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 199424 is about 446.5691435825. The cubic root of 199424 is about 58.4241596418.

The spelling of 199424 in words is "one hundred ninety-nine thousand, four hundred twenty-four".