330408 has 48 divisors (see below), whose sum is σ = 966420. Its totient is φ = 101376.

The previous prime is 330389. The next prime is 330409. The reversal of 330408 is 804033.

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 19044 = 558^2 + 138^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9 and base 13.

It is not an unprimeable number, because it can be changed into a prime (330409) 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 11 ways as a sum of consecutive naturals, for example, 760 + ... + 1112.

2³³⁰⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483210).

330408 is an abundant number, since it is smaller than the sum of its proper divisors (636012).

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

330408 is a wasteful number, since it uses less digits than its factorization.

330408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 330408 is about 574.8112733759. The cubic root of 330408 is about 69.1326998912.

The spelling of 330408 in words is "three hundred thirty thousand, four hundred eight".