256000401 has 12 divisors (see below), whose sum is σ = 373934340. Its totient is φ = 168748800.

The previous prime is 256000391. The next prime is 256000403. The reversal of 256000401 is 104000652.

It is a happy number.

256000401 is a `hidden beast` number, since 25 + 600 + 0 + 40 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46908801 + 209091600 = 6849^2 + 14460^2 .

It is not a de Polignac number, because 256000401 - 2¹⁸ = 255738257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256000403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159000 + ... + 160601.

It is an arithmetic number, because the mean of its divisors is an integer number (31161195).

Almost surely, 2^256000401 is an apocalyptic number.

It is an amenable number.

256000401 is a deficient number, since it is larger than the sum of its proper divisors (117933939).

256000401 is a wasteful number, since it uses less digits than its factorization.

256000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319696 (or 319693 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 256000401 is about 16000.0125312451. The cubic root of 256000401 is about 634.9607523224.

The spelling of 256000401 in words is "two hundred fifty-six million, four hundred one", and thus it is an aban number.