405795 has 16 divisors (see below), whose sum is σ = 699552. Its totient is φ = 199680.

The previous prime is 405781. The next prime is 405799. The reversal of 405795 is 597504.

It is not a de Polignac number, because 405795 - 2⁵ = 405763 is a prime.

405795 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (405799) 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, 846 + ... + 1235.

It is an arithmetic number, because the mean of its divisors is an integer number (43722).

2⁴⁰⁵⁷⁹⁵ is an apocalyptic number.

405795 is a deficient number, since it is larger than the sum of its proper divisors (293757).

405795 is a wasteful number, since it uses less digits than its factorization.

405795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 405795 is about 637.0204078364. The cubic root of 405795 is about 74.0347414178.

The spelling of 405795 in words is "four hundred five thousand, seven hundred ninety-five".