412165305 has 24 divisors (see below), whose sum is σ = 737468160. Its totient is φ = 212729760.

The previous prime is 412165283. The next prime is 412165321. The reversal of 412165305 is 503561214.

412165305 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 653 + 0 + 5 = 666.

It is not a de Polignac number, because 412165305 - 2⁶ = 412165241 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146335 + ... + 149124.

It is an arithmetic number, because the mean of its divisors is an integer number (30727840).

Almost surely, 2^412165305 is an apocalyptic number.

412165305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412165305 is a deficient number, since it is larger than the sum of its proper divisors (325302855).

412165305 is a wasteful number, since it uses less digits than its factorization.

412165305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295501 (or 295498 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 412165305 is about 20301.8547182271. The cubic root of 412165305 is about 744.2013903740.

The spelling of 412165305 in words is "four hundred twelve million, one hundred sixty-five thousand, three hundred five".