468303864 has 128 divisors (see below), whose sum is σ = 1380188160. Its totient is φ = 129644928.

The previous prime is 468303853. The next prime is 468303881.

468303864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002559 + ... + 1003025.

It is an arithmetic number, because the mean of its divisors is an integer number (10782720).

Almost surely, 2^468303864 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 468303864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690094080).

468303864 is an abundant number, since it is smaller than the sum of its proper divisors (911884296).

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

468303864 is a wasteful number, since it uses less digits than its factorization.

468303864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 468303864 is about 21640.3295723517. The cubic root of 468303864 is about 776.5616041232.

The spelling of 468303864 in words is "four hundred sixty-eight million, three hundred three thousand, eight hundred sixty-four".