259725456 has 135 divisors (see below), whose sum is σ = 782040441. Its totient is φ = 80451072.

The previous prime is 259725413. The next prime is 259725457. The reversal of 259725456 is 654527952.

The square root of 259725456 is 16116.

It is a perfect power (a square), and thus also a powerful number.

259725456 is a `hidden beast` number, since 2 + 597 + 2 + 5 + 4 + 56 = 666.

259725456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 202208400 + 57517056 = 14220^2 + 7584^2 .

It is not an unprimeable number, because it can be changed into a prime (259725457) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3287625 + ... + 3287703.

Almost surely, 2^259725456 is an apocalyptic number.

259725456 is the 16116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259725456

259725456 is an abundant number, since it is smaller than the sum of its proper divisors (522314985).

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

259725456 is a wasteful number, since it uses less digits than its factorization.

259725456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 101 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The cubic root of 259725456 is about 638.0256997080.

The spelling of 259725456 in words is "two hundred fifty-nine million, seven hundred twenty-five thousand, four hundred fifty-six".