581940480 has 288 divisors, whose sum is σ = 2119219200. Its totient is φ = 134717440.

The previous prime is 581940467. The next prime is 581940497. The reversal of 581940480 is 84049185.

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 31 ways as a sum of consecutive naturals, for example, 971221 + ... + 971819.

It is an arithmetic number, because the mean of its divisors is an integer number (7358400).

Almost surely, 2^581940480 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 581940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059609600).

581940480 is an abundant number, since it is smaller than the sum of its proper divisors (1537278720).

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

581940480 is a wasteful number, since it uses less digits than its factorization.

581940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 581940480 is about 24123.4425404004. The cubic root of 581940480 is about 834.8840983190.

The spelling of 581940480 in words is "five hundred eighty-one million, nine hundred forty thousand, four hundred eighty".