199515456 has 126 divisors (see below), whose sum is σ = 665336490. Its totient is φ = 56996352.

The previous prime is 199515431. The next prime is 199515499. The reversal of 199515456 is 654515991.

It is a happy number.

199515456 is a `hidden beast` number, since 1 + 99 + 515 + 45 + 6 = 666.

199515456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 158760000 + 40755456 = 12600^2 + 6384^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 24690 + ... + 31758.

Almost surely, 2^199515456 is an apocalyptic number.

199515456 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 199515456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332668245).

199515456 is an abundant number, since it is smaller than the sum of its proper divisors (465821034).

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

199515456 is a wasteful number, since it uses less digits than its factorization.

199515456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7101 (or 7081 counting only the distinct ones).

The product of its digits is 243000, while the sum is 45.

The square root of 199515456 is about 14124.9940176978. The cubic root of 199515456 is about 584.3308939840.

The spelling of 199515456 in words is "one hundred ninety-nine million, five hundred fifteen thousand, four hundred fifty-six".