199784448 has 96 divisors (see below), whose sum is σ = 591973200. Its totient is φ = 66576384.

The previous prime is 199784399. The next prime is 199784461. The reversal of 199784448 is 844487991.

199784448 is a `hidden beast` number, since 199 + 7 + 8 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 199784394 and 199784403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53490 + ... + 57102.

Almost surely, 2^199784448 is an apocalyptic number.

199784448 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 199784448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295986600).

199784448 is an abundant number, since it is smaller than the sum of its proper divisors (392188752).

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

199784448 is an equidigital number, since it uses as much as digits as its factorization.

199784448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3618 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 199784448 is about 14134.5126551997. The cubic root of 199784448 is about 584.5933794970.

The spelling of 199784448 in words is "one hundred ninety-nine million, seven hundred eighty-four thousand, four hundred forty-eight".