481580 has 36 divisors (see below), whose sum is σ = 1117200. Its totient is φ = 174240.

The previous prime is 481577. The next prime is 481589. The reversal of 481580 is 85184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2321 + ... + 2519.

2⁴⁸¹⁵⁸⁰ 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 481580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558600).

481580 is an abundant number, since it is smaller than the sum of its proper divisors (635620).

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

481580 is a wasteful number, since it uses less digits than its factorization.

481580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 481580 is about 693.9596530059. The cubic root of 481580 is about 78.3831683289.

The spelling of 481580 in words is "four hundred eighty-one thousand, five hundred eighty".