199536480 has 768 divisors, whose sum is σ = 914457600. Its totient is φ = 39813120.

The previous prime is 199536457. The next prime is 199536511. The reversal of 199536480 is 84635991.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 10501911 + ... + 10501929.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^199536480 is an apocalyptic number.

199536480 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 199536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

199536480 is an abundant number, since it is smaller than the sum of its proper divisors (714921120).

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

199536480 is a wasteful number, since it uses less digits than its factorization.

199536480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 199536480 is about 14125.7382107980. The cubic root of 199536480 is about 584.3514179432.

The spelling of 199536480 in words is "one hundred ninety-nine million, five hundred thirty-six thousand, four hundred eighty".