468617688 has 192 divisors, whose sum is σ = 1594494720. Its totient is φ = 120787200.

The previous prime is 468617687. The next prime is 468617711. The reversal of 468617688 is 886716864.

468617688 is a `hidden beast` number, since 468 + 6 + 176 + 8 + 8 = 666.

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 (468617687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003231 + ... + 1003697.

It is an arithmetic number, because the mean of its divisors is an integer number (8304660).

Almost surely, 2^468617688 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 468617688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797247360).

468617688 is an abundant number, since it is smaller than the sum of its proper divisors (1125877032).

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

468617688 is a wasteful number, since it uses less digits than its factorization.

468617688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 671 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 468617688 is about 21647.5792642041. The cubic root of 468617688 is about 776.7350308733.

The spelling of 468617688 in words is "four hundred sixty-eight million, six hundred seventeen thousand, six hundred eighty-eight".