524256 has 48 divisors (see below), whose sum is σ = 1419264. Its totient is φ = 169344.

The previous prime is 524243. The next prime is 524257. The reversal of 524256 is 652425.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524257) 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, 4065 + ... + 4191.

It is an arithmetic number, because the mean of its divisors is an integer number (29568).

524256 is a Friedman number, since it can be written as 2^(6*4-5)-2^5, using all its digits and the basic arithmetic operations.

2⁵²⁴²⁵⁶ 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 524256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709632).

524256 is an abundant number, since it is smaller than the sum of its proper divisors (895008).

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

524256 is a wasteful number, since it uses less digits than its factorization.

524256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 524256 is about 724.0552465109. The cubic root of 524256 is about 80.6333066377.

It can be divided in two parts, 524 and 256, that added together give a triangular number (780 = T₃₉).

The spelling of 524256 in words is "five hundred twenty-four thousand, two hundred fifty-six".