410042205 has 12 divisors (see below), whose sum is σ = 710739900. Its totient is φ = 218689152.

The previous prime is 410042201. The next prime is 410042219. The reversal of 410042205 is 502240014.

It can be written as a sum of positive squares in 2 ways, for example, as 78110244 + 331931961 = 8838^2 + 18219^2 .

It is not a de Polignac number, because 410042205 - 2² = 410042201 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410042201) 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, 4555980 + ... + 4556069.

It is an arithmetic number, because the mean of its divisors is an integer number (59228325).

Almost surely, 2^410042205 is an apocalyptic number.

410042205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

410042205 is a deficient number, since it is larger than the sum of its proper divisors (300697695).

410042205 is a wasteful number, since it uses less digits than its factorization.

410042205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9112060 (or 9112057 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 410042205 is about 20249.4988826884. The cubic root of 410042205 is about 742.9213742625.

Adding to 410042205 its reverse (502240014), we get a palindrome (912282219).

The spelling of 410042205 in words is "four hundred ten million, forty-two thousand, two hundred five".