256996448 has 48 divisors (see below), whose sum is σ = 531256320. Its totient is φ = 122217600.

The previous prime is 256996409. The next prime is 256996459. The reversal of 256996448 is 844699652.

It is a self number, because there is not a number n which added to its sum of digits gives 256996448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56333 + ... + 60723.

It is an arithmetic number, because the mean of its divisors is an integer number (11067840).

Almost surely, 2^256996448 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 256996448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265628160).

256996448 is an abundant number, since it is smaller than the sum of its proper divisors (274259872).

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

256996448 is a wasteful number, since it uses less digits than its factorization.

256996448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4483 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 53.

The square root of 256996448 is about 16031.1087576624. The cubic root of 256996448 is about 635.7831888908.

It can be divided in two parts, 25699644 and 8, that added together give a palindrome (25699652).

The spelling of 256996448 in words is "two hundred fifty-six million, nine hundred ninety-six thousand, four hundred forty-eight".