409785 has 16 divisors (see below), whose sum is σ = 694656. Its totient is φ = 205568.

The previous prime is 409781. The next prime is 409813. The reversal of 409785 is 587904.

It is a cyclic number.

It is not a de Polignac number, because 409785 - 2² = 409781 is a prime.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (409781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549 + ... + 1058.

It is an arithmetic number, because the mean of its divisors is an integer number (43416).

2⁴⁰⁹⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

409785 is a deficient number, since it is larger than the sum of its proper divisors (284871).

409785 is a wasteful number, since it uses less digits than its factorization.

409785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 409785 is about 640.1445149339. The cubic root of 409785 is about 74.2766005655.

The spelling of 409785 in words is "four hundred nine thousand, seven hundred eighty-five".