199425600 has 252 divisors, whose sum is σ = 773856720. Its totient is φ = 48307200.

The previous prime is 199425587. The next prime is 199425607. The reversal of 199425600 is 6524991.

199425600 is a `hidden beast` number, since 1 + 9 + 9 + 42 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (199425607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157771 + ... + 159029.

It is an arithmetic number, because the mean of its divisors is an integer number (3070860).

Almost surely, 2^199425600 is an apocalyptic number.

199425600 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 199425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386928360).

199425600 is an abundant number, since it is smaller than the sum of its proper divisors (574431120).

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

199425600 is a wasteful number, since it uses less digits than its factorization.

199425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 199425600 is about 14121.8129147783. The cubic root of 199425600 is about 584.2431588912.

The spelling of 199425600 in words is "one hundred ninety-nine million, four hundred twenty-five thousand, six hundred".