199887480 has 256 divisors, whose sum is σ = 749952000. Its totient is φ = 46987776.

The previous prime is 199887461. The next prime is 199887509. The reversal of 199887480 is 84788991.

199887480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322611 + ... + 323229.

It is an arithmetic number, because the mean of its divisors is an integer number (2929500).

Almost surely, 2^199887480 is an apocalyptic number.

199887480 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 199887480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

199887480 is an abundant number, since it is smaller than the sum of its proper divisors (550064520).

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

199887480 is a wasteful number, since it uses less digits than its factorization.

199887480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 199887480 is about 14138.1568812911. The cubic root of 199887480 is about 584.6938569107.

The spelling of 199887480 in words is "one hundred ninety-nine million, eight hundred eighty-seven thousand, four hundred eighty".