199485600 has 144 divisors (see below), whose sum is σ = 664769952. Its totient is φ = 51932160.

The previous prime is 199485593. The next prime is 199485607. The reversal of 199485600 is 6584991.

199485600 is digitally balanced in base 2 and base 3, because in such bases 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 (199485593) and next prime (199485607).

It is not an unprimeable number, because it can be changed into a prime (199485607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102234 + ... + 104166.

It is an arithmetic number, because the mean of its divisors is an integer number (4616458).

Almost surely, 2^199485600 is an apocalyptic number.

199485600 is a gapful number since it is divisible by the number (10) 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 199485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332384976).

199485600 is an abundant number, since it is smaller than the sum of its proper divisors (465284352).

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

199485600 is a wasteful number, since it uses less digits than its factorization.

199485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1986 counting only the distinct ones).

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

The square root of 199485600 is about 14123.9371281523. The cubic root of 199485600 is about 584.3017456099.

The spelling of 199485600 in words is "one hundred ninety-nine million, four hundred eighty-five thousand, six hundred".