199881472 has 72 divisors (see below), whose sum is σ = 462696192. Its totient is φ = 84403200.

The previous prime is 199881467. The next prime is 199881527. The reversal of 199881472 is 274188991.

199881472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126447 + ... + 128017.

It is an arithmetic number, because the mean of its divisors is an integer number (6426336).

Almost surely, 2^199881472 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 199881472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231348096).

199881472 is an abundant number, since it is smaller than the sum of its proper divisors (262814720).

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

199881472 is an equidigital number, since it uses as much as digits as its factorization.

199881472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1651 counting only the distinct ones).

The product of its digits is 290304, while the sum is 49.

The square root of 199881472 is about 14137.9444050399. The cubic root of 199881472 is about 584.6879988218.

The spelling of 199881472 in words is "one hundred ninety-nine million, eight hundred eighty-one thousand, four hundred seventy-two".