199355904 has 400 divisors, whose sum is σ = 712990080. Its totient is φ = 54743040.

The previous prime is 199355857. The next prime is 199355939. The reversal of 199355904 is 409553991.

It is a happy number.

199355904 is a `hidden beast` number, since 1 + 9 + 93 + 559 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 199355904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8667637 + ... + 8667659.

Almost surely, 2^199355904 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 199355904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356495040).

199355904 is an abundant number, since it is smaller than the sum of its proper divisors (513634176).

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

199355904 is a wasteful number, since it uses less digits than its factorization.

199355904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 199355904 is about 14119.3450273021. The cubic root of 199355904 is about 584.1750898040.

The spelling of 199355904 in words is "one hundred ninety-nine million, three hundred fifty-five thousand, nine hundred four".