468368406 has 96 divisors (see below), whose sum is σ = 1163635200. Its totient is φ = 140006880.

The previous prime is 468368399. The next prime is 468368413. The reversal of 468368406 is 604863864.

It is an interprime number because it is at equal distance from previous prime (468368399) and next prime (468368413).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 421780 + ... + 422888.

It is an arithmetic number, because the mean of its divisors is an integer number (12121200).

Almost surely, 2^468368406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468368406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581817600).

468368406 is an abundant number, since it is smaller than the sum of its proper divisors (695266794).

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

468368406 is a wasteful number, since it uses less digits than its factorization.

468368406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 468368406 is about 21641.8207644366. The cubic root of 468368406 is about 776.5972779243.

The spelling of 468368406 in words is "four hundred sixty-eight million, three hundred sixty-eight thousand, four hundred six".