412201305 has 20 divisors (see below), whose sum is σ = 738909732. Its totient is φ = 219840480.

The previous prime is 412201297. The next prime is 412201313. The reversal of 412201305 is 503102214.

It is an interprime number because it is at equal distance from previous prime (412201297) and next prime (412201313).

It can be written as a sum of positive squares in 2 ways, for example, as 174794841 + 237406464 = 13221^2 + 15408^2 .

It is not a de Polignac number, because 412201305 - 2³ = 412201297 is a prime.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 508486 + ... + 509295.

Almost surely, 2^412201305 is an apocalyptic number.

412201305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412201305 is a deficient number, since it is larger than the sum of its proper divisors (326708427).

412201305 is a wasteful number, since it uses less digits than its factorization.

412201305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017798 (or 1017789 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 412201305 is about 20302.7413173689. The cubic root of 412201305 is about 744.2230568185.

Adding to 412201305 its reverse (503102214), we get a palindrome (915303519).

Subtracting 412201305 from its reverse (503102214), we obtain a palindrome (90900909).

The spelling of 412201305 in words is "four hundred twelve million, two hundred one thousand, three hundred five".