199443456 has 264 divisors, whose sum is σ = 651437280. Its totient is φ = 58392576.

The previous prime is 199443451. The next prime is 199443463. The reversal of 199443456 is 654344991.

199443456 is a `hidden beast` number, since 199 + 4 + 4 + 3 + 456 = 666.

Its product of digits (466560) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199443451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2976735 + ... + 2976801.

Almost surely, 2^199443456 is an apocalyptic number.

199443456 is a gapful number since it is divisible by the number (16) 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 199443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325718640).

199443456 is an abundant number, since it is smaller than the sum of its proper divisors (451993824).

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

199443456 is a wasteful number, since it uses less digits than its factorization.

199443456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 199443456 is about 14122.4451140728. The cubic root of 199443456 is about 584.2605955268.

The spelling of 199443456 in words is "one hundred ninety-nine million, four hundred forty-three thousand, four hundred fifty-six".