199473120 has 432 divisors, whose sum is σ = 867183408. Its totient is φ = 41287680.

The previous prime is 199473103. The next prime is 199473133. The reversal of 199473120 is 21374991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 776032 + ... + 776288.

It is an arithmetic number, because the mean of its divisors is an integer number (2007369).

Almost surely, 2^199473120 is an apocalyptic number.

199473120 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 199473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433591704).

199473120 is an abundant number, since it is smaller than the sum of its proper divisors (667710288).

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

199473120 is a wasteful number, since it uses less digits than its factorization.

199473120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 199473120 is about 14123.4953180861. The cubic root of 199473120 is about 584.2895605402.

The spelling of 199473120 in words is "one hundred ninety-nine million, four hundred seventy-three thousand, one hundred twenty".