468386688 has 384 divisors, whose sum is σ = 1652106240. Its totient is φ = 116121600.

The previous prime is 468386687. The next prime is 468386693. The reversal of 468386688 is 886683864.

It is a tau number, because it is divible by the number of its divisors (384).

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 (468386683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6416220 + ... + 6416292.

It is an arithmetic number, because the mean of its divisors is an integer number (4302360).

Almost surely, 2^468386688 is an apocalyptic number.

468386688 is a gapful number since it is divisible by the number (48) 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 468386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826053120).

468386688 is an abundant number, since it is smaller than the sum of its proper divisors (1183719552).

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

468386688 is a wasteful number, since it uses less digits than its factorization.

468386688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 57.

The square root of 468386688 is about 21642.2431369764. The cubic root of 468386688 is about 776.6073821973.

The spelling of 468386688 in words is "four hundred sixty-eight million, three hundred eighty-six thousand, six hundred eighty-eight".