580431 has 16 divisors (see below), whose sum is σ = 864000. Its totient is φ = 344448.

The previous prime is 580417. The next prime is 580471. The reversal of 580431 is 134085.

It is not a de Polignac number, because 580431 - 2⁷ = 580303 is a prime.

It is a super-2 number, since 2×580431² = 673800291522, which contains 22 as substring.

It is an Ulam number.

580431 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 580398 and 580407.

It is a congruent number.

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, 670 + ... + 1268.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2⁵⁸⁰⁴³¹ is an apocalyptic number.

580431 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

580431 is a deficient number, since it is larger than the sum of its proper divisors (283569).

580431 is a wasteful number, since it uses less digits than its factorization.

580431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 580431 is about 761.8602234006. The cubic root of 580431 is about 83.4161612028.

The spelling of 580431 in words is "five hundred eighty thousand, four hundred thirty-one".