468369864 has 96 divisors (see below), whose sum is σ = 1323241920. Its totient is φ = 155203776.

The previous prime is 468369859. The next prime is 468369871. The reversal of 468369864 is 468963864.

468369864 is a `hidden beast` number, since 468 + 36 + 98 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 468369864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382357 + ... + 383579.

It is an arithmetic number, because the mean of its divisors is an integer number (13783770).

Almost surely, 2^468369864 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 468369864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661620960).

468369864 is an abundant number, since it is smaller than the sum of its proper divisors (854872056).

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

468369864 is a wasteful number, since it uses less digits than its factorization.

With its successor (468369865) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1441).

468369864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1425 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 468369864 is about 21641.8544491917. The cubic root of 468369864 is about 776.5980837555.

It can be divided in two parts, 4683 and 69864, that added together give a palindrome (74547).

The spelling of 468369864 in words is "four hundred sixty-eight million, three hundred sixty-nine thousand, eight hundred sixty-four".