256872448 has 156 divisors (see below), whose sum is σ = 643747072. Its totient is φ = 100270080.

The previous prime is 256872443. The next prime is 256872461. The reversal of 256872448 is 844278652.

256872448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (860160) is a multiple of the sum of its prime factors (96).

It is a junction number, because it is equal to n+sod(n) for n = 256872398 and 256872407.

It is not an unprimeable number, because it can be changed into a prime (256872443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8286193 + ... + 8286223.

Almost surely, 2^256872448 is an apocalyptic number.

256872448 is a gapful number since it is divisible by the number (28) 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 256872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321873536).

256872448 is an abundant number, since it is smaller than the sum of its proper divisors (386874624).

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

256872448 is an equidigital number, since it uses as much as digits as its factorization.

256872448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 57 counting only the distinct ones).

The product of its digits is 860160, while the sum is 46.

The square root of 256872448 is about 16027.2408105700. The cubic root of 256872448 is about 635.6809179593.

The spelling of 256872448 in words is "two hundred fifty-six million, eight hundred seventy-two thousand, four hundred forty-eight".