199849440 has 288 divisors, whose sum is σ = 760142880. Its totient is φ = 43954176.

The previous prime is 199849439. The next prime is 199849453. The reversal of 199849440 is 44948991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 199849440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681934 + ... + 682226.

It is an arithmetic number, because the mean of its divisors is an integer number (2639385).

Almost surely, 2^199849440 is an apocalyptic number.

199849440 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 199849440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380071440).

199849440 is an abundant number, since it is smaller than the sum of its proper divisors (560293440).

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

199849440 is a wasteful number, since it uses less digits than its factorization.

199849440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 199849440 is about 14136.8115216975. The cubic root of 199849440 is about 584.6567641000.

The spelling of 199849440 in words is "one hundred ninety-nine million, eight hundred forty-nine thousand, four hundred forty".