409105025 has 24 divisors (see below), whose sum is σ = 604973184. Its totient is φ = 268329600.

The previous prime is 409104991. The next prime is 409105033. The reversal of 409105025 is 520501904.

It is not a de Polignac number, because 409105025 - 2¹⁸ = 408842881 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 409104985 and 409105003.

It is an unprimeable number.

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, 46796 + ... + 54845.

It is an arithmetic number, because the mean of its divisors is an integer number (25207216).

Almost surely, 2^409105025 is an apocalyptic number.

It is an amenable number.

409105025 is a deficient number, since it is larger than the sum of its proper divisors (195868159).

409105025 is a wasteful number, since it uses less digits than its factorization.

409105025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101681 (or 101676 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 409105025 is about 20226.3448254992. The cubic root of 409105025 is about 742.3549430001.

Adding to 409105025 its reverse (520501904), we get a palindrome (929606929).

The spelling of 409105025 in words is "four hundred nine million, one hundred five thousand, twenty-five".