199800456 has 64 divisors (see below), whose sum is σ = 545978880. Its totient is φ = 60656640.

The previous prime is 199800449. The next prime is 199800463. The reversal of 199800456 is 654008991.

199800456 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 (199800449) and next prime (199800463).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4750 + ... + 20546.

It is an arithmetic number, because the mean of its divisors is an integer number (8530920).

Almost surely, 2^199800456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199800456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272989440).

199800456 is an abundant number, since it is smaller than the sum of its proper divisors (346178424).

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

199800456 is a wasteful number, since it uses less digits than its factorization.

199800456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15854 (or 15850 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 199800456 is about 14135.0789173602. The cubic root of 199800456 is about 584.6089928593.

The spelling of 199800456 in words is "one hundred ninety-nine million, eight hundred thousand, four hundred fifty-six".