590160480 has 384 divisors, whose sum is σ = 2336947200. Its totient is φ = 121872384.

The previous prime is 590160443. The next prime is 590160481. The reversal of 590160480 is 84061095.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (590160481) 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 63 ways as a sum of consecutive naturals, for example, 2577006 + ... + 2577234.

It is an arithmetic number, because the mean of its divisors is an integer number (6085800).

Almost surely, 2^590160480 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 590160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168473600).

590160480 is an abundant number, since it is smaller than the sum of its proper divisors (1746786720).

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

590160480 is a wasteful number, since it uses less digits than its factorization.

590160480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 590160480 is about 24293.2188069016. The cubic root of 590160480 is about 838.7966897649.

The spelling of 590160480 in words is "five hundred ninety million, one hundred sixty thousand, four hundred eighty".