256695424 has 48 divisors (see below), whose sum is σ = 524601810. Its totient is φ = 125112320.

The previous prime is 256695391. The next prime is 256695437. The reversal of 256695424 is 424596652.

It can be written as a sum of positive squares in 3 ways, for example, as 86862400 + 169833024 = 9320^2 + 13032^2 .

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 5 ways as a sum of consecutive naturals, for example, 214572 + ... + 215764.

Almost surely, 2^256695424 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 256695424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262300905).

256695424 is an abundant number, since it is smaller than the sum of its proper divisors (267906386).

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

256695424 is an equidigital number, since it uses as much as digits as its factorization.

256695424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1236 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

The square root of 256695424 is about 16021.7172612676. The cubic root of 256695424 is about 635.5348576093.

The spelling of 256695424 in words is "two hundred fifty-six million, six hundred ninety-five thousand, four hundred twenty-four".