199504305 has 192 divisors, whose sum is σ = 479711232. Its totient is φ = 74027520.

The previous prime is 199504303. The next prime is 199504307. The reversal of 199504305 is 503405991.

199504305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199504303) and next prime (199504307).

It is not a de Polignac number, because 199504305 - 2¹ = 199504303 is a prime.

199504305 is a modest number, since divided by 4305 gives 1995 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 199504305.

It is not an unprimeable number, because it can be changed into a prime (199504301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1936884 + ... + 1936986.

It is an arithmetic number, because the mean of its divisors is an integer number (2498496).

Almost surely, 2^199504305 is an apocalyptic number.

199504305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199504305 is an abundant number, since it is smaller than the sum of its proper divisors (280206927).

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

199504305 is a wasteful number, since it uses less digits than its factorization.

199504305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 199504305 is about 14124.5992863515. The cubic root of 199504305 is about 584.3200076174.

It can be divided in two parts, 199504 and 305, that added together give a square (199809 = 447²).

The spelling of 199504305 in words is "one hundred ninety-nine million, five hundred four thousand, three hundred five".