580944240 has 120 divisors (see below), whose sum is σ = 2018352960. Its totient is φ = 149571072.

The previous prime is 580944227. The next prime is 580944241. The reversal of 580944240 is 42449085.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 580944195 and 580944204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580944241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6969 + ... + 34791.

It is an arithmetic number, because the mean of its divisors is an integer number (16819608).

Almost surely, 2^580944240 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 580944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009176480).

580944240 is an abundant number, since it is smaller than the sum of its proper divisors (1437408720).

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

580944240 is a wasteful number, since it uses less digits than its factorization.

580944240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27871 (or 27862 counting only the distinct ones).

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

The square root of 580944240 is about 24102.7849013345. The cubic root of 580944240 is about 834.4074058028.

The spelling of 580944240 in words is "five hundred eighty million, nine hundred forty-four thousand, two hundred forty".