580049 has 8 divisors (see below), whose sum is σ = 607848. Its totient is φ = 552960.

The previous prime is 580033. The next prime is 580079. The reversal of 580049 is 940085.

580049 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 4 ways, for example, as 211600 + 368449 = 460^2 + 607^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 580049 - 2⁴ = 580033 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (580079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2129 + ... + 2385.

It is an arithmetic number, because the mean of its divisors is an integer number (75981).

2⁵⁸⁰⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

580049 is a deficient number, since it is larger than the sum of its proper divisors (27799).

580049 is a wasteful number, since it uses less digits than its factorization.

580049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355.

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

The square root of 580049 is about 761.6094799830. The cubic root of 580049 is about 83.3978575821.

The spelling of 580049 in words is "five hundred eighty thousand, forty-nine".