580379520 has 384 divisors, whose sum is σ = 2232576000. Its totient is φ = 127733760.

The previous prime is 580379497. The next prime is 580379531. The reversal of 580379520 is 25973085.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2916381 + ... + 2916579.

It is an arithmetic number, because the mean of its divisors is an integer number (5814000).

Almost surely, 2^580379520 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 580379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116288000).

580379520 is an abundant number, since it is smaller than the sum of its proper divisors (1652196480).

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

580379520 is a wasteful number, since it uses less digits than its factorization.

580379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 580379520 is about 24091.0672241808. The cubic root of 580379520 is about 834.1369499469.

The spelling of 580379520 in words is "five hundred eighty million, three hundred seventy-nine thousand, five hundred twenty".