846405 has 24 divisors (see below), whose sum is σ = 1677312. Its totient is φ = 386784.

The previous prime is 846403. The next prime is 846407. The reversal of 846405 is 504648.

846405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (846403) and next prime (846407).

It is not a de Polignac number, because 846405 - 2¹ = 846403 is a prime.

It is a plaindrome in base 12.

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 846405.

It is not an unprimeable number, because it can be changed into a prime (846401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029 + ... + 1658.

It is an arithmetic number, because the mean of its divisors is an integer number (69888).

2⁸⁴⁶⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

846405 is a deficient number, since it is larger than the sum of its proper divisors (830907).

846405 is a wasteful number, since it uses less digits than its factorization.

846405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2702 counting only the distinct ones).

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

The square root of 846405 is about 920.0027173873. The cubic root of 846405 is about 94.5930887534.

The spelling of 846405 in words is "eight hundred forty-six thousand, four hundred five".