205456401 has 24 divisors (see below), whose sum is σ = 310377600. Its totient is φ = 130718016.

The previous prime is 205456399. The next prime is 205456403. The reversal of 205456401 is 104654502.

205456401 is a `hidden beast` number, since 205 + 4 + 56 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (205456399) and next prime (205456403).

It is not a de Polignac number, because 205456401 - 2¹ = 205456399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205456403) 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 23 ways as a sum of consecutive naturals, for example, 123165 + ... + 124821.

It is an arithmetic number, because the mean of its divisors is an integer number (12932400).

Almost surely, 2^205456401 is an apocalyptic number.

It is an amenable number.

205456401 is a deficient number, since it is larger than the sum of its proper divisors (104921199).

205456401 is a wasteful number, since it uses less digits than its factorization.

205456401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 205456401 is about 14333.7504164123. The cubic root of 205456401 is about 590.0741082818.

The spelling of 205456401 in words is "two hundred five million, four hundred fifty-six thousand, four hundred one".