806465205 has 96 divisors (see below), whose sum is σ = 1780047360. Its totient is φ = 328527360.

The previous prime is 806465189. The next prime is 806465207. The reversal of 806465205 is 502564608.

806465205 is a `hidden beast` number, since 8 + 0 + 646 + 5 + 2 + 0 + 5 = 666.

It is not a de Polignac number, because 806465205 - 2⁴ = 806465189 is a prime.

It is a super-2 number, since 2×806465205² = 1300772253751384050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 806465205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806465207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115360 + ... + 122150.

It is an arithmetic number, because the mean of its divisors is an integer number (18542160).

Almost surely, 2^806465205 is an apocalyptic number.

It is an amenable number.

806465205 is an abundant number, since it is smaller than the sum of its proper divisors (973582155).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

806465205 is a wasteful number, since it uses less digits than its factorization.

806465205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 806465205 is about 28398.3310249036. The cubic root of 806465205 is about 930.8117955146.

The spelling of 806465205 in words is "eight hundred six million, four hundred sixty-five thousand, two hundred five".