409356 has 36 divisors (see below), whose sum is σ = 1054872. Its totient is φ = 133824.

The previous prime is 409351. The next prime is 409369. The reversal of 409356 is 653904.

It is a happy number.

409356 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (409351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2920 + ... + 3056.

It is an arithmetic number, because the mean of its divisors is an integer number (29302).

2⁴⁰⁹³⁵⁶ 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 409356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527436).

409356 is an abundant number, since it is smaller than the sum of its proper divisors (645516).

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

409356 is a wasteful number, since it uses less digits than its factorization.

409356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 409356 is about 639.8093466026. The cubic root of 409356 is about 74.2506716941.

The spelling of 409356 in words is "four hundred nine thousand, three hundred fifty-six".