468989864 has 64 divisors (see below), whose sum is σ = 1021991040. Its totient is φ = 197625600.

The previous prime is 468989821. The next prime is 468989869.

468989864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 468989797 and 468989806.

It is not an unprimeable number, because it can be changed into a prime (468989869) 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 15 ways as a sum of consecutive naturals, for example, 1600502 + ... + 1600794.

It is an arithmetic number, because the mean of its divisors is an integer number (15968610).

Almost surely, 2^468989864 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 468989864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510995520).

468989864 is an abundant number, since it is smaller than the sum of its proper divisors (553001176).

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

468989864 is a wasteful number, since it uses less digits than its factorization.

468989864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 686 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 62.

The square root of 468989864 is about 21656.1738079468. The cubic root of 468989864 is about 776.9406040220.

The spelling of 468989864 in words is "four hundred sixty-eight million, nine hundred eighty-nine thousand, eight hundred sixty-four".