580461 has 16 divisors (see below), whose sum is σ = 895488. Its totient is φ = 327600.

The previous prime is 580417. The next prime is 580471. The reversal of 580461 is 164085.

580461 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 580461 - 2⁹ = 579949 is a prime.

580461 is strictly pandigital in base 7.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 580461.

It is not an unprimeable number, because it can be changed into a prime (580471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646 + ... + 2856.

It is an arithmetic number, because the mean of its divisors is an integer number (55968).

2⁵⁸⁰⁴⁶¹ is an apocalyptic number.

It is an amenable number.

580461 is a deficient number, since it is larger than the sum of its proper divisors (315027).

580461 is a wasteful number, since it uses less digits than its factorization.

580461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352.

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

The square root of 580461 is about 761.8799117971. The cubic root of 580461 is about 83.4175983198.

The spelling of 580461 in words is "five hundred eighty thousand, four hundred sixty-one".