846401 has 2 divisors, whose sum is σ = 846402. Its totient is φ = 846400.

The previous prime is 846397. The next prime is 846403. The reversal of 846401 is 104648.

It is a happy number.

It is a Cunningham number, because it is equal to 920²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 846400 + 1 = 920^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 846401 - 2² = 846397 is a prime.

Together with 846403, it forms a pair of twin primes.

It is a Chen prime.

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 846401.

It is not a weakly prime, because it can be changed into another prime (846403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 423200 + 423201.

It is an arithmetic number, because the mean of its divisors is an integer number (423201).

2⁸⁴⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

846401 is a deficient number, since it is larger than the sum of its proper divisors (1).

846401 is an equidigital number, since it uses as much as digits as its factorization.

846401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 846401 is about 920.0005434781. Note that the first 3 decimals coincide. The cubic root of 846401 is about 94.5929397416.

The spelling of 846401 in words is "eight hundred forty-six thousand, four hundred one".