199680480 has 144 divisors (see below), whose sum is σ = 711154080. Its totient is φ = 50924544.

The previous prime is 199680461. The next prime is 199680491. The reversal of 199680480 is 84086991.

199680480 is a `hidden beast` number, since 1 + 9 + 96 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 30106 + ... + 36134.

It is an arithmetic number, because the mean of its divisors is an integer number (4938570).

Almost surely, 2^199680480 is an apocalyptic number.

199680480 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 199680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355577040).

199680480 is an abundant number, since it is smaller than the sum of its proper divisors (511473600).

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

199680480 is a wasteful number, since it uses less digits than its factorization.

199680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6073 (or 6062 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 199680480 is about 14130.8343702699. The cubic root of 199680480 is about 584.4919542672.

199680480 divided by its sum of digits (45) gives a palindrome (4437344).

The spelling of 199680480 in words is "one hundred ninety-nine million, six hundred eighty thousand, four hundred eighty".