405105305 has 16 divisors (see below), whose sum is σ = 536284800. Its totient is φ = 291308160.

The previous prime is 405105287. The next prime is 405105307. The reversal of 405105305 is 503501504.

It is not a de Polignac number, because 405105305 - 2¹⁴ = 405088921 is a prime.

It is a super-2 number, since 2×405105305² = 328220616278286050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405105307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36485 + ... + 46274.

It is an arithmetic number, because the mean of its divisors is an integer number (33517800).

Almost surely, 2^405105305 is an apocalyptic number.

It is an amenable number.

405105305 is a deficient number, since it is larger than the sum of its proper divisors (131179495).

405105305 is a wasteful number, since it uses less digits than its factorization.

405105305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82864.

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 405105305 is about 20127.2279512108. The cubic root of 405105305 is about 739.9277413009.

Adding to 405105305 its reverse (503501504), we get a palindrome (908606809).

The spelling of 405105305 in words is "four hundred five million, one hundred five thousand, three hundred five".