465975 has 36 divisors (see below), whose sum is σ = 886600. Its totient is φ = 233280.

The previous prime is 465947. The next prime is 465977. The reversal of 465975 is 579564.

It is not a de Polignac number, because 465975 - 2⁹ = 465463 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4221 + ... + 4329.

2⁴⁶⁵⁹⁷⁵ is an apocalyptic number.

465975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

465975 is a deficient number, since it is larger than the sum of its proper divisors (420625).

465975 is a wasteful number, since it uses less digits than its factorization.

465975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 465975 is about 682.6236151790. The cubic root of 465975 is about 77.5272190205.

The spelling of 465975 in words is "four hundred sixty-five thousand, nine hundred seventy-five".