580638240 has 576 divisors, whose sum is σ = 2557941120. Its totient is φ = 121927680.

The previous prime is 580638239. The next prime is 580638241. The reversal of 580638240 is 42836085.

580638240 is a `hidden beast` number, since 580 + 6 + 38 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (580638239) and next prime (580638241).

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

It is a junction number, because it is equal to n+sod(n) for n = 580638195 and 580638204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580638241) 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 95 ways as a sum of consecutive naturals, for example, 2751735 + ... + 2751945.

It is an arithmetic number, because the mean of its divisors is an integer number (4440870).

Almost surely, 2^580638240 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 580638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278970560).

580638240 is an abundant number, since it is smaller than the sum of its proper divisors (1977302880).

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

580638240 is a wasteful number, since it uses less digits than its factorization.

580638240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 580638240 is about 24096.4362510310. The cubic root of 580638240 is about 834.2608779657.

The spelling of 580638240 in words is "five hundred eighty million, six hundred thirty-eight thousand, two hundred forty".