199475760 has 120 divisors (see below), whose sum is σ = 679800240. Its totient is φ = 48350720.

The previous prime is 199475743. The next prime is 199475767. The reversal of 199475760 is 67574991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (199475767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25606 + ... + 32474.

It is an arithmetic number, because the mean of its divisors is an integer number (5665002).

Almost surely, 2^199475760 is an apocalyptic number.

199475760 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 199475760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339900120).

199475760 is an abundant number, since it is smaller than the sum of its proper divisors (480324480).

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

199475760 is a wasteful number, since it uses less digits than its factorization.

199475760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6907 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 199475760 is about 14123.5887790604. The cubic root of 199475760 is about 584.2921381934.

The spelling of 199475760 in words is "one hundred ninety-nine million, four hundred seventy-five thousand, seven hundred sixty".