328480 has 24 divisors (see below), whose sum is σ = 776412. Its totient is φ = 131328.

The previous prime is 328439. The next prime is 328481. The reversal of 328480 is 84823.

It can be written as a sum of positive squares in 2 ways, for example, as 327184 + 1296 = 572^2 + 36^2 .

It is a super-2 number, since 2×328480² = 215798220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (328481) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 867 + ... + 1186.

2³²⁸⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

328480 is an abundant number, since it is smaller than the sum of its proper divisors (447932).

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

328480 is a wasteful number, since it uses less digits than its factorization.

328480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 328480 is about 573.1317475066. The cubic root of 328480 is about 68.9979695545.

Subtracting from 328480 its sum of digits (25), we obtain a triangular number (328455 = T₈₁₀).

It can be divided in two parts, 3284 and 80, that added together give a square (3364 = 58²).

The spelling of 328480 in words is "three hundred twenty-eight thousand, four hundred eighty".