465705 has 24 divisors (see below), whose sum is σ = 823680. Its totient is φ = 243360.

The previous prime is 465701. The next prime is 465721. The reversal of 465705 is 507564.

465705 is a `hidden beast` number, since 4 + 657 + 0 + 5 = 666.

It is not a de Polignac number, because 465705 - 2² = 465701 is a prime.

It is a super-2 number, since 2×465705² = 433762294050, which contains 22 as substring.

465705 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (465701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3490 + ... + 3620.

It is an arithmetic number, because the mean of its divisors is an integer number (34320).

2⁴⁶⁵⁷⁰⁵ is an apocalyptic number.

465705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465705 is a deficient number, since it is larger than the sum of its proper divisors (357975).

465705 is a wasteful number, since it uses less digits than its factorization.

465705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 465705 is about 682.4258201446. The cubic root of 465705 is about 77.5122422561.

The spelling of 465705 in words is "four hundred sixty-five thousand, seven hundred five".