409368 has 32 divisors (see below), whose sum is σ = 1053360. Its totient is φ = 132480.

The previous prime is 409351. The next prime is 409369. The reversal of 409368 is 863904.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658 + ... + 1118.

2⁴⁰⁹³⁶⁸ 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 409368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526680).

409368 is an abundant number, since it is smaller than the sum of its proper divisors (643992).

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

409368 is a wasteful number, since it uses less digits than its factorization.

409368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 409368 is about 639.8187243274. The cubic root of 409368 is about 74.2513972234.

It can be divided in two parts, 409 and 368, that added together give a palindrome (777).

The spelling of 409368 in words is "four hundred nine thousand, three hundred sixty-eight".