586401 has 8 divisors (see below), whose sum is σ = 795360. Its totient is φ = 384192.

The previous prime is 586387. The next prime is 586403. The reversal of 586401 is 104685.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 586401 - 2⁷ = 586273 is a prime.

It is a super-2 number, since 2×586401² = 687732265602, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 586401.

It is not an unprimeable number, because it can be changed into a prime (586403) 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, 1480 + ... + 1833.

It is an arithmetic number, because the mean of its divisors is an integer number (99420).

2⁵⁸⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

586401 is a deficient number, since it is larger than the sum of its proper divisors (208959).

586401 is a wasteful number, since it uses less digits than its factorization.

586401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 586401 is about 765.7682417024. The cubic root of 586401 is about 83.7011774549.

The spelling of 586401 in words is "five hundred eighty-six thousand, four hundred one".