580959360 has 288 divisors, whose sum is σ = 2137180500. Its totient is φ = 145391616.

The previous prime is 580959359. The next prime is 580959397. The reversal of 580959360 is 63959085.

580959360 is a `hidden beast` number, since 58 + 0 + 9 + 593 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 475937856 + 105021504 = 21816^2 + 10248^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1664466 + ... + 1664814.

Almost surely, 2^580959360 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 580959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068590250).

580959360 is an abundant number, since it is smaller than the sum of its proper divisors (1556221140).

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

580959360 is a wasteful number, since it uses less digits than its factorization.

580959360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 580959360 is about 24103.0985559948. The cubic root of 580959360 is about 834.4146446676.

The spelling of 580959360 in words is "five hundred eighty million, nine hundred fifty-nine thousand, three hundred sixty".