465401133 has 36 divisors (see below), whose sum is σ = 717007200. Its totient is φ = 301666032.

The previous prime is 465401119. The next prime is 465401149. The reversal of 465401133 is 331104564.

465401133 is a `hidden beast` number, since 4 + 6 + 540 + 113 + 3 = 666.

It is not a de Polignac number, because 465401133 - 2²⁸ = 196965677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 465401097 and 465401106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465401173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331968 + ... + 333366.

Almost surely, 2^465401133 is an apocalyptic number.

It is an amenable number.

465401133 is a deficient number, since it is larger than the sum of its proper divisors (251606067).

465401133 is an equidigital number, since it uses as much as digits as its factorization.

465401133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 465401133 is about 21573.1576965450. The cubic root of 465401133 is about 774.9537998127.

Adding to 465401133 its reverse (331104564), we get a palindrome (796505697).

The spelling of 465401133 in words is "four hundred sixty-five million, four hundred one thousand, one hundred thirty-three".