480256 has 44 divisors (see below), whose sum is σ = 1113568. Its totient is φ = 202752.

The previous prime is 480209. The next prime is 480287. The reversal of 480256 is 652084.

480256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 480256.

It is a congruent number.

It is an unprimeable number.

480256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7135 + ... + 7201.

2⁴⁸⁰²⁵⁶ 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 480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556784).

480256 is an abundant number, since it is smaller than the sum of its proper divisors (633312).

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

480256 is an equidigital number, since it uses as much as digits as its factorization.

480256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 480256 is about 693.0050504866. The cubic root of 480256 is about 78.3112698789.

The spelling of 480256 in words is "four hundred eighty thousand, two hundred fifty-six".