465530022100 has 144 divisors (see below), whose sum is σ = 1190636044416. Its totient is φ = 155757888000.

The previous prime is 465530022079. The next prime is 465530022149. The reversal of 465530022100 is 1220035564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4394962 + ... + 4499638.

It is an arithmetic number, because the mean of its divisors is an integer number (8268305864).

Almost surely, 2^465530022100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465530022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595318022208).

465530022100 is an abundant number, since it is smaller than the sum of its proper divisors (725106022316).

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

465530022100 is a wasteful number, since it uses less digits than its factorization.

465530022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105026 (or 105019 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 465530022100 its reverse (1220035564), we get a palindrome (466750057664).

The spelling of 465530022100 in words is "four hundred sixty-five billion, five hundred thirty million, twenty-two thousand, one hundred".