256114401 has 24 divisors (see below), whose sum is σ = 368252640. Its totient is φ = 158264832.

The previous prime is 256114363. The next prime is 256114403. The reversal of 256114401 is 104411652.

It is a happy number.

It is not a de Polignac number, because 256114401 - 2⁶ = 256114337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256114403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55885 + ... + 60293.

It is an arithmetic number, because the mean of its divisors is an integer number (15343860).

Almost surely, 2^256114401 is an apocalyptic number.

It is an amenable number.

256114401 is a deficient number, since it is larger than the sum of its proper divisors (112138239).

256114401 is a wasteful number, since it uses less digits than its factorization.

256114401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 256114401 is about 16003.5746319377. The cubic root of 256114401 is about 635.0549901744.

The spelling of 256114401 in words is "two hundred fifty-six million, one hundred fourteen thousand, four hundred one".