465426201020220 has 288 divisors, whose sum is σ = 1582772763027456. Its totient is φ = 109711033459200.

The previous prime is 465426201020213. The next prime is 465426201020227. The reversal of 465426201020220 is 22020102624564.

465426201020220 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 2 + 620 + 1 + 0 + 2 + 0 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (465426201020213) and next prime (465426201020227).

It is a super-2 number, since 2×465426201020220² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465426201020227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112771275 + ... + 116825565.

It is an arithmetic number, because the mean of its divisors is an integer number (5495738760512).

Almost surely, 2^{465426201020220} 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 465426201020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791386381513728).

465426201020220 is an abundant number, since it is smaller than the sum of its proper divisors (1117346562007236).

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

465426201020220 is a wasteful number, since it uses less digits than its factorization.

465426201020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055921 (or 4055916 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 465426201020220 its reverse (22020102624564), we get a palindrome (487446303644784).

The spelling of 465426201020220 in words is "four hundred sixty-five trillion, four hundred twenty-six billion, two hundred one million, twenty thousand, two hundred twenty".