199766448 has 120 divisors (see below), whose sum is σ = 649958400. Its totient is φ = 56092032.

The previous prime is 199766447. The next prime is 199766453. The reversal of 199766448 is 844667991.

199766448 is a `hidden beast` number, since 199 + 7 + 6 + 6 + 448 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 199766394 and 199766403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199766447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57793 + ... + 61151.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2^199766448 is an apocalyptic number.

199766448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199766448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

199766448 is an abundant number, since it is smaller than the sum of its proper divisors (450191952).

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

199766448 is a wasteful number, since it uses less digits than its factorization.

199766448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3430 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 199766448 is about 14133.8759015353. The cubic root of 199766448 is about 584.5758222464.

The spelling of 199766448 in words is "one hundred ninety-nine million, seven hundred sixty-six thousand, four hundred forty-eight".