590401 has 6 divisors (see below), whose sum is σ = 686850. Its totient is φ = 506016.

The previous prime is 590399. The next prime is 590407. The reversal of 590401 is 104095.

It can be written as a sum of positive squares in only one way, i.e., 540225 + 50176 = 735^2 + 224^2 .

It is not a de Polignac number, because 590401 - 2¹ = 590399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (590407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5976 + ... + 6073.

It is an arithmetic number, because the mean of its divisors is an integer number (114475).

2⁵⁹⁰⁴⁰¹ is an apocalyptic number.

It is an amenable number.

590401 is a deficient number, since it is larger than the sum of its proper divisors (96449).

590401 is a wasteful number, since it uses less digits than its factorization.

590401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12063 (or 12056 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 590401 is about 768.3755592157. The cubic root of 590401 is about 83.8910624864.

Adding to 590401 its reverse (104095), we get a palindrome (694496).

The spelling of 590401 in words is "five hundred ninety thousand, four hundred one".