328401 has 8 divisors (see below), whose sum is σ = 486560. Its totient is φ = 218916.

The previous prime is 328397. The next prime is 328411. The reversal of 328401 is 104823.

It is a happy number.

It is not a de Polignac number, because 328401 - 2² = 328397 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328401.

It is not an unprimeable number, because it can be changed into a prime (328411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6055 + ... + 6108.

It is an arithmetic number, because the mean of its divisors is an integer number (60820).

2³²⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

328401 is a deficient number, since it is larger than the sum of its proper divisors (158159).

328401 is a wasteful number, since it uses less digits than its factorization.

328401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12172 (or 12166 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 328401 is about 573.0628237811. The cubic root of 328401 is about 68.9924377345.

It can be divided in two parts, 328 and 401, that added together give a 6-th power (729 = 3⁶).

The spelling of 328401 in words is "three hundred twenty-eight thousand, four hundred one".