465530022000 has 120 divisors (see below), whose sum is σ = 1625941253040. Its totient is φ = 124141334400.

The previous prime is 465530021989. The next prime is 465530022007. The reversal of 465530022000 is 220035564.

465530022000 is a `hidden beast` number, since 4 + 655 + 3 + 0 + 0 + 2 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×465530022000³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465530022007) 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, 12913390 + ... + 12949389.

It is an arithmetic number, because the mean of its divisors is an integer number (13549510442).

Almost surely, 2^465530022000 is an apocalyptic number.

465530022000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465530022000 is an abundant number, since it is smaller than the sum of its proper divisors (1160411231040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

465530022000 is a wasteful number, since it uses less digits than its factorization.

465530022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25862808 (or 25862789 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 465530022000 its reverse (220035564), we get a palindrome (465750057564).

The spelling of 465530022000 in words is "four hundred sixty-five billion, five hundred thirty million, twenty-two thousand".