199006400 has 84 divisors (see below), whose sum is σ = 497951760. Its totient is φ = 78259200.

The previous prime is 199006363. The next prime is 199006421. The reversal of 199006400 is 4600991.

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 11 ways as a sum of consecutive naturals, for example, 96581 + ... + 98619.

Almost surely, 2^199006400 is an apocalyptic number.

199006400 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 199006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248975880).

199006400 is an abundant number, since it is smaller than the sum of its proper divisors (298945360).

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

199006400 is a wasteful number, since it uses less digits than its factorization.

199006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 199006400 is about 14106.9628198277. The cubic root of 199006400 is about 583.8335047989.

The spelling of 199006400 in words is "one hundred ninety-nine million, six thousand, four hundred".