580225920 has 128 divisors (see below), whose sum is σ = 1858839840. Its totient is φ = 153944064.

The previous prime is 580225909. The next prime is 580225931. The reversal of 580225920 is 29522085.

It is an interprime number because it is at equal distance from previous prime (580225909) and next prime (580225931).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446712 + ... + 448008.

Almost surely, 2^580225920 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 580225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929419920).

580225920 is an abundant number, since it is smaller than the sum of its proper divisors (1278613920).

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

580225920 is a wasteful number, since it uses less digits than its factorization.

580225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 580225920 is about 24087.8791096269. The cubic root of 580225920 is about 834.0633574466.

The spelling of 580225920 in words is "five hundred eighty million, two hundred twenty-five thousand, nine hundred twenty".