465636768 has 24 divisors (see below), whose sum is σ = 1222296768. Its totient is φ = 155212224.

The previous prime is 465636761. The next prime is 465636779. The reversal of 465636768 is 867636564.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 465636768.

It is not an unprimeable number, because it can be changed into a prime (465636761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2425096 + ... + 2425287.

It is an arithmetic number, because the mean of its divisors is an integer number (50929032).

Almost surely, 2^465636768 is an apocalyptic number.

465636768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

465636768 is an abundant number, since it is smaller than the sum of its proper divisors (756660000).

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

465636768 is a wasteful number, since it uses less digits than its factorization.

465636768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850396 (or 4850388 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 465636768 is about 21578.6183060918. The cubic root of 465636768 is about 775.0845654513.

The spelling of 465636768 in words is "four hundred sixty-five million, six hundred thirty-six thousand, seven hundred sixty-eight".