468828864 has 280 divisors, whose sum is σ = 1622115120. Its totient is φ = 132765696.

The previous prime is 468828851. The next prime is 468828881.

468828864 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 468828864.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4148872 + ... + 4148984.

Almost surely, 2^468828864 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 468828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811057560).

468828864 is an abundant number, since it is smaller than the sum of its proper divisors (1153286256).

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

468828864 is an equidigital number, since it uses as much as digits as its factorization.

468828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 468828864 is about 21652.4563040778. The cubic root of 468828864 is about 776.8516882739.

The spelling of 468828864 in words is "four hundred sixty-eight million, eight hundred twenty-eight thousand, eight hundred sixty-four".