199949400 has 216 divisors, whose sum is σ = 781473420. Its totient is φ = 45682560.

The previous prime is 199949377. The next prime is 199949401. The reversal of 199949400 is 4949991.

199949400 = 1996² + 1997² + ... + 2044².

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199949401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 87067 + ... + 89333.

Almost surely, 2^199949400 is an apocalyptic number.

199949400 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 199949400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390736710).

199949400 is an abundant number, since it is smaller than the sum of its proper divisors (581524020).

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

199949400 is a wasteful number, since it uses less digits than its factorization.

199949400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 199949400 is about 14140.3465304072. The cubic root of 199949400 is about 584.7542250503.

The spelling of 199949400 in words is "one hundred ninety-nine million, nine hundred forty-nine thousand, four hundred".