199205440 has 112 divisors (see below), whose sum is σ = 547615872. Its totient is φ = 67608576.

The previous prime is 199205387. The next prime is 199205441. The reversal of 199205440 is 44502991.

199205440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 199205396 and 199205405.

It is not an unprimeable number, because it can be changed into a prime (199205441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252727 + ... + 253513.

Almost surely, 2^199205440 is an apocalyptic number.

199205440 is a gapful number since it is divisible by the number (10) 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 199205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273807936).

199205440 is an abundant number, since it is smaller than the sum of its proper divisors (348410432).

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

199205440 is a wasteful number, since it uses less digits than its factorization.

199205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 199205440 is about 14114.0157290546. The cubic root of 199205440 is about 584.0280839688.

The spelling of 199205440 in words is "one hundred ninety-nine million, two hundred five thousand, four hundred forty".