468663408 has 120 divisors (see below), whose sum is σ = 1371006000. Its totient is φ = 154980864.

The previous prime is 468663397. The next prime is 468663413. The reversal of 468663408 is 804366864.

468663408 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 634 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578908 + ... + 579716.

It is an arithmetic number, because the mean of its divisors is an integer number (11425050).

Almost surely, 2^468663408 is an apocalyptic number.

468663408 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 468663408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685503000).

468663408 is an abundant number, since it is smaller than the sum of its proper divisors (902342592).

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

468663408 is a wasteful number, since it uses less digits than its factorization.

468663408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 963 counting only the distinct ones).

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

The square root of 468663408 is about 21648.6352456685. The cubic root of 468663408 is about 776.7602903913.

The spelling of 468663408 in words is "four hundred sixty-eight million, six hundred sixty-three thousand, four hundred eight".