199480320 has 440 divisors, whose sum is σ = 790616904. Its totient is φ = 47775744.

The previous prime is 199480301. The next prime is 199480327. The reversal of 199480320 is 23084991.

It can be written as a sum of positive squares in 4 ways, for example, as 23970816 + 175509504 = 4896^2 + 13248^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199480327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391342 + ... + 5391378.

Almost surely, 2^199480320 is an apocalyptic number.

199480320 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 199480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395308452).

199480320 is an abundant number, since it is smaller than the sum of its proper divisors (591136584).

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

199480320 is a wasteful number, since it uses less digits than its factorization.

199480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 199480320 is about 14123.7502101956. The cubic root of 199480320 is about 584.2965904501.

The spelling of 199480320 in words is "one hundred ninety-nine million, four hundred eighty thousand, three hundred twenty".