465620320 has 96 divisors (see below), whose sum is σ = 1219984416. Its totient is φ = 166502400.

The previous prime is 465620269. The next prime is 465620329. The reversal of 465620320 is 23026564.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465620329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105192 + ... + 109528.

It is an arithmetic number, because the mean of its divisors is an integer number (12708171).

Almost surely, 2^465620320 is an apocalyptic number.

465620320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609992208).

465620320 is an abundant number, since it is smaller than the sum of its proper divisors (754364096).

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

465620320 is a wasteful number, since it uses less digits than its factorization.

465620320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 465620320 is about 21578.2371847192. The cubic root of 465620320 is about 775.0754390665.

Adding to 465620320 its reverse (23026564), we get a palindrome (488646884).

It can be divided in two parts, 4656 and 20320, that added together give a triangular number (24976 = T₂₂₃).

The spelling of 465620320 in words is "four hundred sixty-five million, six hundred twenty thousand, three hundred twenty".