256480 has 48 divisors (see below), whose sum is σ = 695520. Its totient is φ = 87552.

The previous prime is 256471. The next prime is 256483. The reversal of 256480 is 84652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256483) 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, 1006 + ... + 1234.

It is an arithmetic number, because the mean of its divisors is an integer number (14490).

2²⁵⁶⁴⁸⁰ is an apocalyptic number.

256480 is a gapful number since it is divisible by the number (20) 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 256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347760).

256480 is an abundant number, since it is smaller than the sum of its proper divisors (439040).

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

256480 is a wasteful number, since it uses less digits than its factorization.

256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

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

The square root of 256480 is about 506.4385451365. The cubic root of 256480 is about 63.5357023277.

It can be divided in two parts, 2564 and 80, that multiplied together give a triangular number (205120 = T₆₄₀).

The spelling of 256480 in words is "two hundred fifty-six thousand, four hundred eighty".