256004 has 24 divisors (see below), whose sum is σ = 526848. Its totient is φ = 106560.

The previous prime is 255989. The next prime is 256019. The reversal of 256004 is 400652.

It is an interprime number because it is at equal distance from previous prime (255989) and next prime (256019).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1037 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (21952).

2²⁵⁶⁰⁰⁴ 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 256004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263424).

256004 is an abundant number, since it is smaller than the sum of its proper divisors (270844).

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

256004 is a wasteful number, since it uses less digits than its factorization.

256004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 256004 is about 505.9683784586. The cubic root of 256004 is about 63.4963727856.

Adding to 256004 its reverse (400652), we get a palindrome (656656).

It can be divided in two parts, 25600 and 4, that multiplied together give a square (102400 = 320²).

The spelling of 256004 in words is "two hundred fifty-six thousand, four".