409128 has 16 divisors (see below), whose sum is σ = 1022880. Its totient is φ = 136368.

The previous prime is 409121. The next prime is 409153. The reversal of 409128 is 821904.

It is a hoax number, since the sum of its digits (24) 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 (24), and also a Moran number because the ratio is a prime number: 17047 = 409128 / (4 + 0 + 9 + 1 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 409098 and 409107.

It is not an unprimeable number, because it can be changed into a prime (409121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8500 + ... + 8547.

It is an arithmetic number, because the mean of its divisors is an integer number (63930).

2⁴⁰⁹¹²⁸ is an apocalyptic number.

It is an amenable number.

409128 is an abundant number, since it is smaller than the sum of its proper divisors (613752).

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

409128 is a wasteful number, since it uses less digits than its factorization.

409128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17056 (or 17052 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 409128 is about 639.6311437071. The cubic root of 409128 is about 74.2368839420.

The spelling of 409128 in words is "four hundred nine thousand, one hundred twenty-eight".