405846 has 24 divisors (see below), whose sum is σ = 1005264. Its totient is φ = 115920.

The previous prime is 405829. The next prime is 405857. The reversal of 405846 is 648504.

405846 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405846.

It is an unprimeable number.

405846 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1485 + ... + 1736.

It is an arithmetic number, because the mean of its divisors is an integer number (41886).

2⁴⁰⁵⁸⁴⁶ is an apocalyptic number.

405846 is an abundant number, since it is smaller than the sum of its proper divisors (599418).

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

405846 is a wasteful number, since it uses less digits than its factorization.

405846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 405846 is about 637.0604366934. The cubic root of 405846 is about 74.0378428308.

It can be divided in two parts, 40 and 5846, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 405846 in words is "four hundred five thousand, eight hundred forty-six".