468686864 has 80 divisors (see below), whose sum is σ = 968710320. Its totient is φ = 219340800.

The previous prime is 468686863. The next prime is 468686873.

It is a happy number.

468686864 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 65480464 + 403206400 = 8092^2 + 20080^2 .

It is not an unprimeable number, because it can be changed into a prime (468686863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3421004 + ... + 3421140.

It is an arithmetic number, because the mean of its divisors is an integer number (12108879).

Almost surely, 2^468686864 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 468686864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484355160).

468686864 is an abundant number, since it is smaller than the sum of its proper divisors (500023456).

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

468686864 is a wasteful number, since it uses less digits than its factorization.

468686864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 56.

The square root of 468686864 is about 21649.1769820471. The cubic root of 468686864 is about 776.7732487925.

The spelling of 468686864 in words is "four hundred sixty-eight million, six hundred eighty-six thousand, eight hundred sixty-four".