580944960 has 336 divisors, whose sum is σ = 2147937792. Its totient is φ = 149299200.

The previous prime is 580944953. The next prime is 580944967. The reversal of 580944960 is 69449085.

It is a happy number.

580944960 is a `hidden beast` number, since 580 + 9 + 4 + 4 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (580944953) and next prime (580944967).

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

It is not an unprimeable number, because it can be changed into a prime (580944967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410440 + ... + 2410680.

It is an arithmetic number, because the mean of its divisors is an integer number (6392672).

Almost surely, 2^580944960 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 580944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073968896).

580944960 is an abundant number, since it is smaller than the sum of its proper divisors (1566992832).

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

580944960 is a wasteful number, since it uses less digits than its factorization.

580944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 580944960 is about 24102.7998373633. The cubic root of 580944960 is about 834.4077505135.

The spelling of 580944960 in words is "five hundred eighty million, nine hundred forty-four thousand, nine hundred sixty".