465765135220 has 192 divisors, whose sum is σ = 1240597596672. Its totient is φ = 142661376000.

The previous prime is 465765135203. The next prime is 465765135247. The reversal of 465765135220 is 22531567564.

It is a happy number.

It is a super-3 number, since 3×465765135220³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162796590 + ... + 162799450.

It is an arithmetic number, because the mean of its divisors is an integer number (6461445816).

Almost surely, 2^465765135220 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 465765135220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620298798336).

465765135220 is an abundant number, since it is smaller than the sum of its proper divisors (774832461452).

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

465765135220 is a wasteful number, since it uses less digits than its factorization.

465765135220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 465765135220 in words is "four hundred sixty-five billion, seven hundred sixty-five million, one hundred thirty-five thousand, two hundred twenty".