580401 has 6 divisors (see below), whose sum is σ = 838370. Its totient is φ = 386928.

The previous prime is 580381. The next prime is 580409. The reversal of 580401 is 104085.

580401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 62001 = 720^2 + 249^2 .

It is not a de Polignac number, because 580401 - 2¹¹ = 578353 is a prime.

It is a Duffinian number.

580401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (580409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32236 + ... + 32253.

2⁵⁸⁰⁴⁰¹ is an apocalyptic number.

It is an amenable number.

580401 is a deficient number, since it is larger than the sum of its proper divisors (257969).

580401 is a wasteful number, since it uses less digits than its factorization.

580401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64495 (or 64492 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 580401 is about 761.8405344952. The cubic root of 580401 is about 83.4147240363.

Adding to 580401 its reverse (104085), we get a palindrome (684486).

The spelling of 580401 in words is "five hundred eighty thousand, four hundred one".