480568 has 32 divisors (see below), whose sum is σ = 1013760. Its totient is φ = 211680.

The previous prime is 480563. The next prime is 480569. The reversal of 480568 is 865084.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480563) 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, 3721 + ... + 3847.

It is an arithmetic number, because the mean of its divisors is an integer number (31680).

2⁴⁸⁰⁵⁶⁸ 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 480568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506880).

480568 is an abundant number, since it is smaller than the sum of its proper divisors (533192).

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

480568 is a wasteful number, since it uses less digits than its factorization.

480568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 480568 is about 693.2301205228. The cubic root of 480568 is about 78.3282246052.

The spelling of 480568 in words is "four hundred eighty thousand, five hundred sixty-eight".