468873216 has 312 divisors, whose sum is σ = 1635578880. Its totient is φ = 126517248.

The previous prime is 468873143. The next prime is 468873217. The reversal of 468873216 is 612378864.

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 (468873217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5935065 + ... + 5935143.

It is an arithmetic number, because the mean of its divisors is an integer number (5242240).

Almost surely, 2^468873216 is an apocalyptic number.

468873216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817789440).

468873216 is an abundant number, since it is smaller than the sum of its proper divisors (1166705664).

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

468873216 is a wasteful number, since it uses less digits than its factorization.

468873216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 468873216 is about 21653.4804592703. The cubic root of 468873216 is about 776.8761846607.

The spelling of 468873216 in words is "four hundred sixty-eight million, eight hundred seventy-three thousand, two hundred sixteen".