403328 has 32 divisors (see below), whose sum is σ = 844560. Its totient is φ = 191488.

The previous prime is 403327. The next prime is 403331. The reversal of 403328 is 823304.

403328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403327) 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 3 ways as a sum of consecutive naturals, for example, 2876 + ... + 3012.

2⁴⁰³³²⁸ 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 403328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422280).

403328 is an abundant number, since it is smaller than the sum of its proper divisors (441232).

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

403328 is a wasteful number, since it uses less digits than its factorization.

403328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 403328 is about 635.0810971837. The cubic root of 403328 is about 73.8844068194.

The spelling of 403328 in words is "four hundred three thousand, three hundred twenty-eight".