328464 has 30 divisors (see below), whose sum is σ = 919646. Its totient is φ = 109440.

The previous prime is 328439. The next prime is 328481. The reversal of 328464 is 464823.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 36864 = 540^2 + 192^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328464.

It is an unprimeable number.

328464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 997 + ... + 1284.

2³²⁸⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

328464 is an abundant number, since it is smaller than the sum of its proper divisors (591182).

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

328464 is a wasteful number, since it uses less digits than its factorization.

328464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2286 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 328464 is about 573.1177889405. The cubic root of 328464 is about 68.9968492575.

The spelling of 328464 in words is "three hundred twenty-eight thousand, four hundred sixty-four".