199384416 has 384 divisors, whose sum is σ = 753822720. Its totient is φ = 50388480.

The previous prime is 199384411. The next prime is 199384433. The reversal of 199384416 is 614483991.

199384416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×199384416² = 79508290687322112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199384411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5388750 + ... + 5388786.

It is an arithmetic number, because the mean of its divisors is an integer number (1963080).

Almost surely, 2^199384416 is an apocalyptic number.

199384416 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 199384416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376911360).

199384416 is an abundant number, since it is smaller than the sum of its proper divisors (554438304).

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

199384416 is an equidigital number, since it uses as much as digits as its factorization.

199384416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 199384416 is about 14120.3546697666. The cubic root of 199384416 is about 584.2029381660.

The spelling of 199384416 in words is "one hundred ninety-nine million, three hundred eighty-four thousand, four hundred sixteen".