199900440 has 128 divisors (see below), whose sum is σ = 669772800. Its totient is φ = 53032320.

The previous prime is 199900427. The next prime is 199900453. The reversal of 199900440 is 44009991.

It is an interprime number because it is at equal distance from previous prime (199900427) and next prime (199900453).

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

It is a junction number, because it is equal to n+sod(n) for n = 199900395 and 199900404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292339 + ... + 293021.

It is an arithmetic number, because the mean of its divisors is an integer number (5232600).

Almost surely, 2^199900440 is an apocalyptic number.

199900440 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 199900440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334886400).

199900440 is an abundant number, since it is smaller than the sum of its proper divisors (469872360).

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

199900440 is a wasteful number, since it uses less digits than its factorization.

199900440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 199900440 is about 14138.6152080039. The cubic root of 199900440 is about 584.7064931342.

The spelling of 199900440 in words is "one hundred ninety-nine million, nine hundred thousand, four hundred forty".