199400256 has 126 divisors (see below), whose sum is σ = 628446546. Its totient is φ = 60403200.

The previous prime is 199400251. The next prime is 199400297. The reversal of 199400256 is 652004991.

199400256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 174240000 + 25160256 = 13200^2 + 5016^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 199400256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199400251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68266 + ... + 71126.

It is an arithmetic number, because the mean of its divisors is an integer number (4987671).

Almost surely, 2^199400256 is an apocalyptic number.

199400256 is a gapful number since it is divisible by the number (16) 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 199400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314223273).

199400256 is an abundant number, since it is smaller than the sum of its proper divisors (429046290).

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

199400256 is a wasteful number, since it uses less digits than its factorization.

199400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 199400256 is about 14120.9155510540. The cubic root of 199400256 is about 584.2184083311.

The spelling of 199400256 in words is "one hundred ninety-nine million, four hundred thousand, two hundred fifty-six".