468842328 has 96 divisors (see below), whose sum is σ = 1349524800. Its totient is φ = 146625984.

The previous prime is 468842321. The next prime is 468842369. The reversal of 468842328 is 823248864.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468842321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144775 + ... + 147977.

It is an arithmetic number, because the mean of its divisors is an integer number (14057550).

Almost surely, 2^468842328 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 468842328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674762400).

468842328 is an abundant number, since it is smaller than the sum of its proper divisors (880682472).

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

468842328 is a wasteful number, since it uses less digits than its factorization.

468842328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3334 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 468842328 is about 21652.7672134533. The cubic root of 468842328 is about 776.8591248403.

The spelling of 468842328 in words is "four hundred sixty-eight million, eight hundred forty-two thousand, three hundred twenty-eight".