468868864 has 36 divisors (see below), whose sum is σ = 944708184. Its totient is φ = 232229888.

The previous prime is 468868837. The next prime is 468868867.

468868864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 468868799 and 468868808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468868867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18834 + ... + 35950.

It is an arithmetic number, because the mean of its divisors is an integer number (26241894).

Almost surely, 2^468868864 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 468868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472354092).

468868864 is an abundant number, since it is smaller than the sum of its proper divisors (475839320).

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

468868864 is a wasteful number, since it uses less digits than its factorization.

468868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17240 (or 17226 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 58.

The square root of 468868864 is about 21653.3799671091. The cubic root of 468868864 is about 776.8737810432.

The spelling of 468868864 in words is "four hundred sixty-eight million, eight hundred sixty-eight thousand, eight hundred sixty-four".