580789440 has 672 divisors, whose sum is σ = 2609478144. Its totient is φ = 119439360.

The previous prime is 580789421. The next prime is 580789441. The reversal of 580789440 is 44987085.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (580789441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5987472 + ... + 5987568.

It is an arithmetic number, because the mean of its divisors is an integer number (3883152).

Almost surely, 2^580789440 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 580789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304739072).

580789440 is an abundant number, since it is smaller than the sum of its proper divisors (2028688704).

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

580789440 is a wasteful number, since it uses less digits than its factorization.

580789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 580789440 is about 24099.5734402084. The cubic root of 580789440 is about 834.3332863883. Note that the first 3 decimals are identical.

The spelling of 580789440 in words is "five hundred eighty million, seven hundred eighty-nine thousand, four hundred forty".