409068 has 36 divisors (see below), whose sum is σ = 1129128. Its totient is φ = 123840.

The previous prime is 409063. The next prime is 409069. The reversal of 409068 is 860904.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (409063) by changing a digit.

409068 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, 121 + ... + 912.

2⁴⁰⁹⁰⁶⁸ 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 409068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564564).

409068 is an abundant number, since it is smaller than the sum of its proper divisors (720060).

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

409068 is a wasteful number, since it uses less digits than its factorization.

409068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 409068 is about 639.5842399559. The cubic root of 409068 is about 74.2332547348.

The spelling of 409068 in words is "four hundred nine thousand, sixty-eight".