256848544 has 36 divisors (see below), whose sum is σ = 528646986. Its totient is φ = 122832512.

The previous prime is 256848541. The next prime is 256848583. The reversal of 256848544 is 445848652.

256848544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 163532944 + 93315600 = 12788^2 + 9660^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 256848494 and 256848503.

It is not an unprimeable number, because it can be changed into a prime (256848541) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9342 + ... + 24514.

Almost surely, 2^256848544 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 256848544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264323493).

256848544 is an abundant number, since it is smaller than the sum of its proper divisors (271798442).

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

256848544 is a wasteful number, since it uses less digits than its factorization.

256848544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15229 (or 15198 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 46.

The square root of 256848544 is about 16026.4950628639. The cubic root of 256848544 is about 635.6611989793.

The spelling of 256848544 in words is "two hundred fifty-six million, eight hundred forty-eight thousand, five hundred forty-four".