580136480 has 288 divisors, whose sum is σ = 1801699200. Its totient is φ = 174988800.

The previous prime is 580136471. The next prime is 580136489. The reversal of 580136480 is 84631085.

It is an interprime number because it is at equal distance from previous prime (580136471) and next prime (580136489).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 580136480.

It is not an unprimeable number, because it can be changed into a prime (580136489) 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, 18714065 + ... + 18714095.

It is an arithmetic number, because the mean of its divisors is an integer number (6255900).

Almost surely, 2^580136480 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 580136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900849600).

580136480 is an abundant number, since it is smaller than the sum of its proper divisors (1221562720).

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

580136480 is a wasteful number, since it uses less digits than its factorization.

580136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 580136480 is about 24086.0225026882. The cubic root of 580136480 is about 834.0204991636.

The spelling of 580136480 in words is "five hundred eighty million, one hundred thirty-six thousand, four hundred eighty".