409168 has 20 divisors (see below), whose sum is σ = 803520. Its totient is φ = 201824.

The previous prime is 409163. The next prime is 409177. The reversal of 409168 is 861904.

409168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409163) by changing a digit.

409168 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 3 ways as a sum of consecutive naturals, for example, 1593 + ... + 1831.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2⁴⁰⁹¹⁶⁸ is an apocalyptic number.

It is an amenable number.

409168 is a deficient number, since it is larger than the sum of its proper divisors (394352).

409168 is a wasteful number, since it uses less digits than its factorization.

409168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 409168 is about 639.6624109638. The cubic root of 409168 is about 74.2393032163.

The spelling of 409168 in words is "four hundred nine thousand, one hundred sixty-eight".