199779048 has 192 divisors, whose sum is σ = 655724160. Its totient is φ = 55800576.

The previous prime is 199779007. The next prime is 199779049. The reversal of 199779048 is 840977991.

199779048 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 junction number, because it is equal to n+sod(n) for n = 199778985 and 199779003.

It is not an unprimeable number, because it can be changed into a prime (199779049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721086 + ... + 721362.

It is an arithmetic number, because the mean of its divisors is an integer number (3415230).

Almost surely, 2^199779048 is an apocalyptic number.

199779048 is a gapful number since it is divisible by the number (18) 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 199779048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327862080).

199779048 is an abundant number, since it is smaller than the sum of its proper divisors (455945112).

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

199779048 is a wasteful number, since it uses less digits than its factorization.

199779048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 199779048 is about 14134.3216321124. The cubic root of 199779048 is about 584.5881124326.

The spelling of 199779048 in words is "one hundred ninety-nine million, seven hundred seventy-nine thousand, forty-eight".