485584 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 211200.

The previous prime is 485567. The next prime is 485587.

485584 = 18² + 19² + ... + 113².

485584 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5412 + ... + 5500.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁴⁸⁵⁵⁸⁴ is an apocalyptic number.

485584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

485584 is an abundant number, since it is smaller than the sum of its proper divisors (585776).

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

485584 is a wasteful number, since it uses less digits than its factorization.

485584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its digits is 25600, while the sum is 34.

The square root of 485584 is about 696.8385752812. The cubic root of 485584 is about 78.5998027391.

The spelling of 485584 in words is "four hundred eighty-five thousand, five hundred eighty-four".