199185480 has 160 divisors (see below), whose sum is σ = 721135800. Its totient is φ = 49019904.

The previous prime is 199185479. The next prime is 199185487. The reversal of 199185480 is 84581991.

199185480 is a `hidden beast` number, since 1 + 9 + 91 + 85 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61873956 + 137311524 = 7866^2 + 11718^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199185487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39756 + ... + 44484.

Almost surely, 2^199185480 is an apocalyptic number.

199185480 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 199185480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360567900).

199185480 is an abundant number, since it is smaller than the sum of its proper divisors (521950320).

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

199185480 is a wasteful number, since it uses less digits than its factorization.

199185480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 199185480 is about 14113.3086127952. The cubic root of 199185480 is about 584.0085771556.

The spelling of 199185480 in words is "one hundred ninety-nine million, one hundred eighty-five thousand, four hundred eighty".