846404 has 24 divisors (see below), whose sum is σ = 1638168. Its totient is φ = 380160.

The previous prime is 846403. The next prime is 846407. The reversal of 846404 is 404648.

846404 = T₇₂ + T₇₃ + ... + T₁₇₅.

It can be written as a sum of positive squares in 4 ways, for example, as 4 + 846400 = 2^2 + 920^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 846404.

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 7 ways as a sum of consecutive naturals, for example, 1934 + ... + 2330.

It is an arithmetic number, because the mean of its divisors is an integer number (68257).

2⁸⁴⁶⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

846404 is a deficient number, since it is larger than the sum of its proper divisors (791764).

846404 is a wasteful number, since it uses less digits than its factorization.

846404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 846404 is about 920.0021739105. The cubic root of 846404 is about 94.5930515005.

The spelling of 846404 in words is "eight hundred forty-six thousand, four hundred four".