580873248 has 192 divisors, whose sum is σ = 1778112000. Its totient is φ = 184246272.

The previous prime is 580873247. The next prime is 580873253. The reversal of 580873248 is 842378085.

It is not an unprimeable number, because it can be changed into a prime (580873243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2430313 + ... + 2430551.

It is an arithmetic number, because the mean of its divisors is an integer number (9261000).

Almost surely, 2^580873248 is an apocalyptic number.

580873248 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580873248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889056000).

580873248 is an abundant number, since it is smaller than the sum of its proper divisors (1197238752).

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

580873248 is a wasteful number, since it uses less digits than its factorization.

580873248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 580873248 is about 24101.3121634487. The cubic root of 580873248 is about 834.3734159293.

The spelling of 580873248 in words is "five hundred eighty million, eight hundred seventy-three thousand, two hundred forty-eight".