256464225 has 60 divisors (see below), whose sum is σ = 486804780. Its totient is φ = 133401600.

The previous prime is 256464211. The next prime is 256464233. The reversal of 256464225 is 522464652.

256464225 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 642 + 2 + 5 = 666.

256464225 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 6 ways, for example, as 7834401 + 248629824 = 2799^2 + 15768^2 .

It is not a de Polignac number, because 256464225 - 2¹⁷ = 256333153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256464225.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 81481 + ... + 84569.

It is an arithmetic number, because the mean of its divisors is an integer number (8113413).

Almost surely, 2^256464225 is an apocalyptic number.

256464225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256464225 is a deficient number, since it is larger than the sum of its proper divisors (230340555).

256464225 is a wasteful number, since it uses less digits than its factorization.

256464225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3138 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 256464225 is about 16014.5004605201. The cubic root of 256464225 is about 635.3439969688.

The spelling of 256464225 in words is "two hundred fifty-six million, four hundred sixty-four thousand, two hundred twenty-five".