256448544 has 96 divisors (see below), whose sum is σ = 750145536. Its totient is φ = 76043520.

The previous prime is 256448527. The next prime is 256448561. The reversal of 256448544 is 445844652.

It is an interprime number because it is at equal distance from previous prime (256448527) and next prime (256448561).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 256448496 and 256448505.

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, 47049 + ... + 52215.

It is an arithmetic number, because the mean of its divisors is an integer number (7814016).

Almost surely, 2^256448544 is an apocalyptic number.

256448544 is a gapful number since it is divisible by the number (24) 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 256448544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375072768).

256448544 is an abundant number, since it is smaller than the sum of its proper divisors (493696992).

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

256448544 is a wasteful number, since it uses less digits than its factorization.

256448544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238 (or 5230 counting only the distinct ones).

The product of its digits is 614400, while the sum is 42.

The square root of 256448544 is about 16014.0108654890. The cubic root of 256448544 is about 635.3310477523.

The spelling of 256448544 in words is "two hundred fifty-six million, four hundred forty-eight thousand, five hundred forty-four".