465633 has 24 divisors (see below), whose sum is σ = 811200. Its totient is φ = 251424.

The previous prime is 465631. The next prime is 465643. The reversal of 465633 is 336564.

465633 is a `hidden beast` number, since 4 + 656 + 3 + 3 = 666.

It is not a de Polignac number, because 465633 - 2¹ = 465631 is a prime.

It is a Curzon number.

465633 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 465597 and 465606.

It is not an unprimeable number, because it can be changed into a prime (465631) 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, 1003 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (33800).

2⁴⁶⁵⁶³³ is an apocalyptic number.

It is an amenable number.

465633 is a deficient number, since it is larger than the sum of its proper divisors (345567).

465633 is a wasteful number, since it uses less digits than its factorization.

465633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 418 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 465633 is about 682.3730651191. The cubic root of 465633 is about 77.5082474747.

The spelling of 465633 in words is "four hundred sixty-five thousand, six hundred thirty-three".