199964415 has 64 divisors (see below), whose sum is σ = 394002432. Its totient is φ = 84585600.

The previous prime is 199964411. The next prime is 199964419. The reversal of 199964415 is 514469991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (199964411) and next prime (199964419).

It is not a de Polignac number, because 199964415 - 2² = 199964411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199964411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73530 + ... + 76200.

It is an arithmetic number, because the mean of its divisors is an integer number (6156288).

Almost surely, 2^199964415 is an apocalyptic number.

199964415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

199964415 is a deficient number, since it is larger than the sum of its proper divisors (194038017).

199964415 is a wasteful number, since it uses less digits than its factorization.

199964415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740.

The product of its digits is 349920, while the sum is 48.

The square root of 199964415 is about 14140.8774480228. The cubic root of 199964415 is about 584.7688618616.

The spelling of 199964415 in words is "one hundred ninety-nine million, nine hundred sixty-four thousand, four hundred fifteen".