205630401 has 16 divisors (see below), whose sum is σ = 276232320. Its totient is φ = 136062720.

The previous prime is 205630363. The next prime is 205630417. The reversal of 205630401 is 104036502.

It is a happy number.

It is not a de Polignac number, because 205630401 - 2⁹ = 205629889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205635401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403735 + ... + 404243.

It is an arithmetic number, because the mean of its divisors is an integer number (17264520).

Almost surely, 2^205630401 is an apocalyptic number.

It is an amenable number.

205630401 is a deficient number, since it is larger than the sum of its proper divisors (70601919).

205630401 is a wasteful number, since it uses less digits than its factorization.

205630401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 205630401 is about 14339.8187227036. The cubic root of 205630401 is about 590.2406382181.

Adding to 205630401 its reverse (104036502), we get a palindrome (309666903).

The spelling of 205630401 in words is "two hundred five million, six hundred thirty thousand, four hundred one".