199300416 has 112 divisors (see below), whose sum is σ = 606039936. Its totient is φ = 56623104.

The previous prime is 199300403. The next prime is 199300421. The reversal of 199300416 is 614003991.

199300416 is digitally balanced in base 3, 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 congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 345120 + ... + 345696.

Almost surely, 2^199300416 is an apocalyptic number.

199300416 is a gapful number since it is divisible by the number (16) 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 199300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303019968).

199300416 is an abundant number, since it is smaller than the sum of its proper divisors (406739520).

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

199300416 is a wasteful number, since it uses less digits than its factorization.

199300416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 199300416 is about 14117.3799268845. The cubic root of 199300416 is about 584.1208857154.

The spelling of 199300416 in words is "one hundred ninety-nine million, three hundred thousand, four hundred sixteen".