256441444 has 48 divisors (see below), whose sum is σ = 536933376. Its totient is φ = 104781600.

The previous prime is 256441441. The next prime is 256441459. The reversal of 256441444 is 444144652.

It is not an unprimeable number, because it can be changed into a prime (256441441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315799 + ... + 316609.

It is an arithmetic number, because the mean of its divisors is an integer number (11186112).

Almost surely, 2^256441444 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 256441444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268466688).

256441444 is an abundant number, since it is smaller than the sum of its proper divisors (280491932).

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

256441444 is a wasteful number, since it uses less digits than its factorization.

256441444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1334 counting only the distinct ones).

The product of its digits is 61440, while the sum is 34.

The square root of 256441444 is about 16013.7891830759. The cubic root of 256441444 is about 635.3251844681.

It can be divided in two parts, 25 and 6441444, that multiplied together give a square (161036100 = 12690²).

The spelling of 256441444 in words is "two hundred fifty-six million, four hundred forty-one thousand, four hundred forty-four".