256808448 has 160 divisors (see below), whose sum is σ = 819218400. Its totient is φ = 78962688.

The previous prime is 256808417. The next prime is 256808459. The reversal of 256808448 is 844808652.

256808448 is a `hidden beast` number, since 2 + 568 + 0 + 84 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178998 + ... + 180426.

It is an arithmetic number, because the mean of its divisors is an integer number (5120115).

Almost surely, 2^256808448 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 256808448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409609200).

256808448 is an abundant number, since it is smaller than the sum of its proper divisors (562409952).

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

256808448 is a wasteful number, since it uses less digits than its factorization.

256808448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 256808448 is about 16025.2440855046. The cubic root of 256808448 is about 635.6281200846.

The spelling of 256808448 in words is "two hundred fifty-six million, eight hundred eight thousand, four hundred forty-eight".