468872768 has 224 divisors, whose sum is σ = 1228953600. Its totient is φ = 176117760.

The previous prime is 468872713. The next prime is 468872771. The reversal of 468872768 is 867278864.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×468872768³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 8846630 + ... + 8846682.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 2^468872768 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 468872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800).

468872768 is an abundant number, since it is smaller than the sum of its proper divisors (760080832).

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

468872768 is a wasteful number, since it uses less digits than its factorization.

468872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 56.

The square root of 468872768 is about 21653.4701145105. The cubic root of 468872768 is about 776.8759372302.

The spelling of 468872768 in words is "four hundred sixty-eight million, eight hundred seventy-two thousand, seven hundred sixty-eight".