580752480 has 384 divisors, whose sum is σ = 2403717120. Its totient is φ = 114186240.

The previous prime is 580752467. The next prime is 580752503. The reversal of 580752480 is 84257085.

580752480 = T₁₈₇ + T₁₈₈ + ... + T₁₅₁₆.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701827 + ... + 702653.

It is an arithmetic number, because the mean of its divisors is an integer number (6259680).

Almost surely, 2^580752480 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 580752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201858560).

580752480 is an abundant number, since it is smaller than the sum of its proper divisors (1822964640).

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

580752480 is a wasteful number, since it uses less digits than its factorization.

580752480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 580752480 is about 24098.8066094568. The cubic root of 580752480 is about 834.3155877123.

The spelling of 580752480 in words is "five hundred eighty million, seven hundred fifty-two thousand, four hundred eighty".