580426560 has 420 divisors, whose sum is σ = 2407025412. Its totient is φ = 132378624.

The previous prime is 580426559. The next prime is 580426579. The reversal of 580426560 is 65624085.

580426560 is a `hidden beast` number, since 58 + 0 + 42 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 366799104 + 213627456 = 19152^2 + 14616^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 in 59 ways as a sum of consecutive naturals, for example, 1269852 + ... + 1270308.

Almost surely, 2^580426560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203512706).

580426560 is an abundant number, since it is smaller than the sum of its proper divisors (1826598852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

580426560 is a wasteful number, since it uses less digits than its factorization.

580426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 580426560 is about 24092.0434998777. The cubic root of 580426560 is about 834.1594850529.

The spelling of 580426560 in words is "five hundred eighty million, four hundred twenty-six thousand, five hundred sixty".