199468320 has 48 divisors (see below), whose sum is σ = 628326720. Its totient is φ = 53191424.

The previous prime is 199468279. The next prime is 199468331. The reversal of 199468320 is 23864991.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×199468320² = 79575221367244800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 207300 + ... + 208259.

It is an arithmetic number, because the mean of its divisors is an integer number (13090140).

Almost surely, 2^199468320 is an apocalyptic number.

199468320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199468320 is an abundant number, since it is smaller than the sum of its proper divisors (428858400).

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

199468320 is a wasteful number, since it uses less digits than its factorization.

199468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415577 (or 415569 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 199468320 is about 14123.3253874574. The cubic root of 199468320 is about 584.2848738395.

The spelling of 199468320 in words is "one hundred ninety-nine million, four hundred sixty-eight thousand, three hundred twenty".