580849920 has 432 divisors, whose sum is σ = 2404725120. Its totient is φ = 132765696.

The previous prime is 580849901. The next prime is 580849921. The reversal of 580849920 is 29948085.

580849920 is a `hidden beast` number, since 580 + 8 + 49 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (580849921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82978557 + ... + 82978563.

Almost surely, 2^580849920 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 580849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202362560).

580849920 is an abundant number, since it is smaller than the sum of its proper divisors (1823875200).

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

580849920 is an frugal number, since it uses more digits than its factorization.

580849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 580849920 is about 24100.8282015370. The cubic root of 580849920 is about 834.3622462386.

The spelling of 580849920 in words is "five hundred eighty million, eight hundred forty-nine thousand, nine hundred twenty".