468290908800 has 864 divisors, whose sum is σ = 1978160069340. Its totient is φ = 104782233600.

The previous prime is 468290908781. The next prime is 468290908801. The reversal of 468290908800 is 8809092864.

468290908800 is a `hidden beast` number, since 468 + 2 + 90 + 90 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11887977024 + 456402931776 = 109032^2 + 675576^2 .

It is not an unprimeable number, because it can be changed into a prime (468290908801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 45297232 + ... + 45307568.

Almost surely, 2^468290908800 is an apocalyptic number.

468290908800 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 468290908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989080034670).

468290908800 is an abundant number, since it is smaller than the sum of its proper divisors (1509869160540).

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

468290908800 is a wasteful number, since it uses less digits than its factorization.

468290908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10402 (or 10371 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 468290908800 in words is "four hundred sixty-eight billion, two hundred ninety million, nine hundred eight thousand, eight hundred".