328461200 has 30 divisors (see below), whose sum is σ = 789128994. Its totient is φ = 131384320.

The previous prime is 328461157. The next prime is 328461251. The reversal of 328461200 is 2164823.

328461200 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 3 ways, for example, as 12475024 + 315986176 = 3532^2 + 17776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 328461200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 410177 + ... + 410976.

Almost surely, 2^328461200 is an apocalyptic number.

It is an amenable number.

328461200 is an abundant number, since it is smaller than the sum of its proper divisors (460667794).

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

328461200 is a wasteful number, since it uses less digits than its factorization.

328461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821171 (or 821160 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 328461200 is about 18123.4985585013. The cubic root of 328461200 is about 689.9665320181.

The spelling of 328461200 in words is "three hundred twenty-eight million, four hundred sixty-one thousand, two hundred".