468705200 has 60 divisors (see below), whose sum is σ = 1142936520. Its totient is φ = 184673280.

The previous prime is 468705169. The next prime is 468705257. The reversal of 468705200 is 2507864.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18056 + ... + 35544.

It is an arithmetic number, because the mean of its divisors is an integer number (19048942).

Almost surely, 2^468705200 is an apocalyptic number.

468705200 is a gapful number since it is divisible by the number (40) 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 468705200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571468260).

468705200 is an abundant number, since it is smaller than the sum of its proper divisors (674231320).

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

468705200 is a wasteful number, since it uses less digits than its factorization.

468705200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17574 (or 17563 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 468705200 is about 21649.6004582071. The cubic root of 468705200 is about 776.7833783194.

The spelling of 468705200 in words is "four hundred sixty-eight million, seven hundred five thousand, two hundred".