1205590401 has 12 divisors (see below), whose sum is σ = 1765264228. Its totient is φ = 792716544.

The previous prime is 1205590369. The next prime is 1205590409. The reversal of 1205590401 is 1040955021.

1205590401 is a `hidden beast` number, since 1 + 205 + 59 + 0 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 355284801 + 850305600 = 18849^2 + 29160^2 .

It is not a de Polignac number, because 1205590401 - 2⁵ = 1205590369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1205590409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 916840 + ... + 918153.

Almost surely, 2^1205590401 is an apocalyptic number.

It is an amenable number.

1205590401 is a deficient number, since it is larger than the sum of its proper divisors (559673827).

1205590401 is a wasteful number, since it uses less digits than its factorization.

1205590401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835072 (or 1835069 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1205590401 is about 34721.6128801644. The cubic root of 1205590401 is about 1064.3062042106.

The spelling of 1205590401 in words is "one billion, two hundred five million, five hundred ninety thousand, four hundred one".