590480 has 60 divisors (see below), whose sum is σ = 1533756. Its totient is φ = 211200.

The previous prime is 590437. The next prime is 590489. The reversal of 590480 is 84095.

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 495616 = 308^2 + 704^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 590480.

It is not an unprimeable number, because it can be changed into a prime (590489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9650 + ... + 9710.

2⁵⁹⁰⁴⁸⁰ 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 590480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766878).

590480 is an abundant number, since it is smaller than the sum of its proper divisors (943276).

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

590480 is a wasteful number, since it uses less digits than its factorization.

590480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 590480 is about 768.4269646492. The cubic root of 590480 is about 83.8948040668.

The spelling of 590480 in words is "five hundred ninety thousand, four hundred eighty".