199702440 has 144 divisors (see below), whose sum is σ = 755064180. Its totient is φ = 45642240.

The previous prime is 199702421. The next prime is 199702453. The reversal of 199702440 is 44207991.

It can be written as a sum of positive squares in 2 ways, for example, as 179506404 + 20196036 = 13398^2 + 4494^2 .

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 = 199702395 and 199702404.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 11980 + ... + 23300.

Almost surely, 2^199702440 is an apocalyptic number.

199702440 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 199702440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377532090).

199702440 is an abundant number, since it is smaller than the sum of its proper divisors (555361740).

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

199702440 is a wasteful number, since it uses less digits than its factorization.

199702440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352 (or 11338 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 199702440 is about 14131.6113730883. The cubic root of 199702440 is about 584.5133801185.

The spelling of 199702440 in words is "one hundred ninety-nine million, seven hundred two thousand, four hundred forty".