409088 has 40 divisors (see below), whose sum is σ = 883872. Its totient is φ = 188416.

The previous prime is 409081. The next prime is 409099. The reversal of 409088 is 880904.

409088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 409088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409081) 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, 8681 + ... + 8727.

2⁴⁰⁹⁰⁸⁸ 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 409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441936).

409088 is an abundant number, since it is smaller than the sum of its proper divisors (474784).

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

409088 is an equidigital number, since it uses as much as digits as its factorization.

409088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 409088 is about 639.5998749218. The cubic root of 409088 is about 74.2344645100.

The spelling of 409088 in words is "four hundred nine thousand, eighty-eight".