410505121 has 16 divisors (see below), whose sum is σ = 469702800. Its totient is φ = 355961088.

The previous prime is 410505119. The next prime is 410505149. The reversal of 410505121 is 121505014.

It can be written as a sum of positive squares in 8 ways, for example, as 36469521 + 374035600 = 6039^2 + 19340^2 .

It is a cyclic number.

It is not a de Polignac number, because 410505121 - 2¹ = 410505119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (410505521) 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 15 ways as a sum of consecutive naturals, for example, 766 + ... + 28663.

It is an arithmetic number, because the mean of its divisors is an integer number (29356425).

Almost surely, 2^410505121 is an apocalyptic number.

It is an amenable number.

410505121 is a deficient number, since it is larger than the sum of its proper divisors (59197679).

410505121 is a wasteful number, since it uses less digits than its factorization.

410505121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29508.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 410505121 is about 20260.9259660066. The cubic root of 410505121 is about 743.2008421230.

The spelling of 410505121 in words is "four hundred ten million, five hundred five thousand, one hundred twenty-one".