465321768 has 64 divisors (see below), whose sum is σ = 1217410560. Its totient is φ = 148052736.

The previous prime is 465321757. The next prime is 465321827. The reversal of 465321768 is 867123564.

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 15 ways as a sum of consecutive naturals, for example, 42121 + ... + 52007.

It is an arithmetic number, because the mean of its divisors is an integer number (19022040).

Almost surely, 2^465321768 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 465321768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608705280).

465321768 is an abundant number, since it is smaller than the sum of its proper divisors (752088792).

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

465321768 is a wasteful number, since it uses less digits than its factorization.

465321768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9982 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 465321768 is about 21571.3181794716. The cubic root of 465321768 is about 774.9097462709.

The spelling of 465321768 in words is "four hundred sixty-five million, three hundred twenty-one thousand, seven hundred sixty-eight".