199414320 has 240 divisors, whose sum is σ = 743666688. Its totient is φ = 44029440.

The previous prime is 199414247. The next prime is 199414331. The reversal of 199414320 is 23414991.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364287 + ... + 364833.

Almost surely, 2^199414320 is an apocalyptic number.

199414320 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 199414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371833344).

199414320 is an abundant number, since it is smaller than the sum of its proper divisors (544252368).

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

199414320 is a wasteful number, since it uses less digits than its factorization.

199414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 199414320 is about 14121.4135269809. The cubic root of 199414320 is about 584.2321432759.

The spelling of 199414320 in words is "one hundred ninety-nine million, four hundred fourteen thousand, three hundred twenty".