199585440 has 288 divisors, whose sum is σ = 747242496. Its totient is φ = 48291840.

The previous prime is 199585433. The next prime is 199585523. The reversal of 199585440 is 44585991.

199585440 is a `hidden beast` number, since 19 + 95 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 758749 + ... + 759011.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592).

Almost surely, 2^199585440 is an apocalyptic number.

199585440 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 199585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373621248).

199585440 is an abundant number, since it is smaller than the sum of its proper divisors (547657056).

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

199585440 is a wasteful number, since it uses less digits than its factorization.

199585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 199585440 is about 14127.4711112782. The cubic root of 199585440 is about 584.3992078774.

The spelling of 199585440 in words is "one hundred ninety-nine million, five hundred eighty-five thousand, four hundred forty".