468368736 has 144 divisors (see below), whose sum is σ = 1375630704. Its totient is φ = 139392000.

The previous prime is 468368731. The next prime is 468368741. The reversal of 468368736 is 637863864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (468368731) and next prime (468368741).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468368731) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 708246 + ... + 708906.

It is an arithmetic number, because the mean of its divisors is an integer number (9552991).

Almost surely, 2^468368736 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 468368736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687815352).

468368736 is an abundant number, since it is smaller than the sum of its proper divisors (907261968).

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

468368736 is a wasteful number, since it uses less digits than its factorization.

468368736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 738 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 468368736 is about 21641.8283885627. The cubic root of 468368736 is about 776.5974603143.

The spelling of 468368736 in words is "four hundred sixty-eight million, three hundred sixty-eight thousand, seven hundred thirty-six".