256486401 has 12 divisors (see below), whose sum is σ = 370800612. Its totient is φ = 170843136.

The previous prime is 256486387. The next prime is 256486421. The reversal of 256486401 is 104684652.

256486401 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 8 + 640 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97121025 + 159365376 = 9855^2 + 12624^2 .

It is not a de Polignac number, because 256486401 - 2¹¹ = 256484353 is a prime.

It is a super-4 number, since 4×256486401⁴ (a number of 35 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (256486421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 756 + ... + 22661.

It is an arithmetic number, because the mean of its divisors is an integer number (30900051).

Almost surely, 2^256486401 is an apocalyptic number.

It is an amenable number.

256486401 is a deficient number, since it is larger than the sum of its proper divisors (114314211).

256486401 is a wasteful number, since it uses less digits than its factorization.

256486401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24640 (or 24637 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 256486401 is about 16015.1928180712. The cubic root of 256486401 is about 635.3623087917.

The spelling of 256486401 in words is "two hundred fifty-six million, four hundred eighty-six thousand, four hundred one".