405328 has 60 divisors (see below), whose sum is σ = 1017792. Its totient is φ = 154560.

The previous prime is 405323. The next prime is 405341. The reversal of 405328 is 823504.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 405299 and 405308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405323) by changing a digit.

405328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8601 + ... + 8647.

2⁴⁰⁵³²⁸ 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 405328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896).

405328 is an abundant number, since it is smaller than the sum of its proper divisors (612464).

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

405328 is a wasteful number, since it uses less digits than its factorization.

405328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 405328 is about 636.6537520505. The cubic root of 405328 is about 74.0063301135.

The spelling of 405328 in words is "four hundred five thousand, three hundred twenty-eight".