465953 has 4 divisors (see below), whose sum is σ = 493380. Its totient is φ = 438528.

The previous prime is 465947. The next prime is 465977. The reversal of 465953 is 359564.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 165649 + 300304 = 407^2 + 548^2 .

It is a cyclic number.

It is not a de Polignac number, because 465953 - 2¹⁴ = 449569 is a prime.

It is a super-2 number, since 2×465953² = 434224396418, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (462953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13688 + ... + 13721.

It is an arithmetic number, because the mean of its divisors is an integer number (123345).

2⁴⁶⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

465953 is a deficient number, since it is larger than the sum of its proper divisors (27427).

465953 is a wasteful number, since it uses less digits than its factorization.

465953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27426.

The product of its digits is 16200, while the sum is 32.

The square root of 465953 is about 682.6075006913. The cubic root of 465953 is about 77.5259989081.

The spelling of 465953 in words is "four hundred sixty-five thousand, nine hundred fifty-three".