468848864 has 72 divisors (see below), whose sum is σ = 1068154920. Its totient is φ = 201864960.

The previous prime is 468848827. The next prime is 468848879.

It is a happy number.

468848864 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70382 + ... + 76754.

It is an arithmetic number, because the mean of its divisors is an integer number (14835485).

Almost surely, 2^468848864 is an apocalyptic number.

468848864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468848864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534077460).

468848864 is an abundant number, since it is smaller than the sum of its proper divisors (599306056).

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

468848864 is a wasteful number, since it uses less digits than its factorization.

468848864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6405 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 56.

The square root of 468848864 is about 21652.9181405186. The cubic root of 468848864 is about 776.8627348156.

The spelling of 468848864 in words is "four hundred sixty-eight million, eight hundred forty-eight thousand, eight hundred sixty-four".