199833480 has 448 divisors, whose sum is σ = 849916800. Its totient is φ = 41057280.

The previous prime is 199833457. The next prime is 199833481. The reversal of 199833480 is 84338991.

199833480 is a `hidden beast` number, since 1 + 99 + 83 + 3 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (199833481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2245276 + ... + 2245364.

Almost surely, 2^199833480 is an apocalyptic number.

199833480 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 199833480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424958400).

199833480 is an abundant number, since it is smaller than the sum of its proper divisors (650083320).

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

199833480 is a wasteful number, since it uses less digits than its factorization.

199833480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 199833480 is about 14136.2470267041. The cubic root of 199833480 is about 584.6412000995.

The spelling of 199833480 in words is "one hundred ninety-nine million, eight hundred thirty-three thousand, four hundred eighty".