199149840 has 200 divisors, whose sum is σ = 702817368. Its totient is φ = 52254720.

The previous prime is 199149829. The next prime is 199149901. The reversal of 199149840 is 48941991.

199149840 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 199148544 = 36^2 + 14112^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 472830 + ... + 473250.

Almost surely, 2^199149840 is an apocalyptic number.

199149840 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 199149840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351408684).

199149840 is an abundant number, since it is smaller than the sum of its proper divisors (503667528).

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

199149840 is a wasteful number, since it uses less digits than its factorization.

199149840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 199149840 is about 14112.0459182926. The cubic root of 199149840 is about 583.9737431117.

The spelling of 199149840 in words is "one hundred ninety-nine million, one hundred forty-nine thousand, eight hundred forty".