580409 has 2 divisors, whose sum is σ = 580410. Its totient is φ = 580408.

The previous prime is 580381. The next prime is 580417. The reversal of 580409 is 904085.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 577600 + 2809 = 760^2 + 53^2 .

It is a cyclic number.

It is not a de Polignac number, because 580409 - 2¹² = 576313 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (582409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 290204 + 290205.

It is an arithmetic number, because the mean of its divisors is an integer number (290205).

2⁵⁸⁰⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

580409 is a deficient number, since it is larger than the sum of its proper divisors (1).

580409 is an equidigital number, since it uses as much as digits as its factorization.

580409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 580409 is about 761.8457849198. The cubic root of 580409 is about 83.4151072856.

It can be divided in two parts, 580 and 409, that added together give a palindrome (989).

The spelling of 580409 in words is "five hundred eighty thousand, four hundred nine".