409365 has 24 divisors (see below), whose sum is σ = 775008. Its totient is φ = 198240.

The previous prime is 409351. The next prime is 409369. The reversal of 409365 is 563904.

It is a happy number.

It is not a de Polignac number, because 409365 - 2⁴ = 409349 is a prime.

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 congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (32292).

2⁴⁰⁹³⁶⁵ is an apocalyptic number.

409365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409365 is a deficient number, since it is larger than the sum of its proper divisors (365643).

409365 is a wasteful number, since it uses less digits than its factorization.

409365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 846 counting only the distinct ones).

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

The square root of 409365 is about 639.8163799091. The cubic root of 409365 is about 74.2512158424.

The spelling of 409365 in words is "four hundred nine thousand, three hundred sixty-five".