405105001 has 12 divisors (see below), whose sum is σ = 471600900. Its totient is φ = 346970400.

The previous prime is 405104977. The next prime is 405105007. The reversal of 405105001 is 100501504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19571776 + 385533225 = 4424^2 + 19635^2 .

It is not a de Polignac number, because 405105001 - 2⁷ = 405104873 is a prime.

It is a super-2 number, since 2×405105001² = 328220123670420002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405105007) 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 11 ways as a sum of consecutive naturals, for example, 90975 + ... + 95323.

It is an arithmetic number, because the mean of its divisors is an integer number (39300075).

Almost surely, 2^405105001 is an apocalyptic number.

It is an amenable number.

405105001 is a deficient number, since it is larger than the sum of its proper divisors (66495899).

405105001 is a wasteful number, since it uses less digits than its factorization.

405105001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6264 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 405105001 is about 20127.2203992504. The cubic root of 405105001 is about 739.9275562148.

Adding to 405105001 its reverse (100501504), we get a palindrome (505606505).

The spelling of 405105001 in words is "four hundred five million, one hundred five thousand, one".