365409 has 12 divisors (see below), whose sum is σ = 575952. Its totient is φ = 221400.

The previous prime is 365377. The next prime is 365411. The reversal of 365409 is 904563.

It is a happy number.

365409 is a `hidden beast` number, since 3 + 654 + 0 + 9 = 666.

It is not a de Polignac number, because 365409 - 2⁵ = 365377 is a prime.

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

It is a Curzon number.

365409 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365409.

It is not an unprimeable number, because it can be changed into a prime (365419) 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, 1747 + ... + 1944.

It is an arithmetic number, because the mean of its divisors is an integer number (47996).

2³⁶⁵⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

365409 is a deficient number, since it is larger than the sum of its proper divisors (210543).

365409 is a wasteful number, since it uses less digits than its factorization.

365409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3705 counting only the distinct ones).

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

The square root of 365409 is about 604.4906947175. The cubic root of 365409 is about 71.4923786031.

It can be divided in two parts, 36 and 5409, that added together give a palindrome (5445).

The spelling of 365409 in words is "three hundred sixty-five thousand, four hundred nine".