199434880 has 64 divisors (see below), whose sum is σ = 483994080. Its totient is φ = 78566400.

The previous prime is 199434877. The next prime is 199434881. The reversal of 199434880 is 88434991.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×199434880² = 79548542721228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199434880.

It is not an unprimeable number, because it can be changed into a prime (199434881) by changing a digit.

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, 40555 + ... + 45205.

Almost surely, 2^199434880 is an apocalyptic number.

199434880 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 199434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241997040).

199434880 is an abundant number, since it is smaller than the sum of its proper divisors (284559200).

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

199434880 is an equidigital number, since it uses as much as digits as its factorization.

199434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 199434880 is about 14122.1414806679. The cubic root of 199434880 is about 584.2522210719.

The spelling of 199434880 in words is "one hundred ninety-nine million, four hundred thirty-four thousand, eight hundred eighty".