199382400 has 576 divisors, whose sum is σ = 868158720. Its totient is φ = 42577920.

The previous prime is 199382369. The next prime is 199382401. The reversal of 199382400 is 4283991.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199382401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4636779 + ... + 4636821.

It is an arithmetic number, because the mean of its divisors is an integer number (1507220).

Almost surely, 2^199382400 is an apocalyptic number.

199382400 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 199382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434079360).

199382400 is an abundant number, since it is smaller than the sum of its proper divisors (668776320).

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

199382400 is a wasteful number, since it uses less digits than its factorization.

199382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 199382400 is about 14120.2832832773. The cubic root of 199382400 is about 584.2009691771.

The spelling of 199382400 in words is "one hundred ninety-nine million, three hundred eighty-two thousand, four hundred".