468908000 has 96 divisors (see below), whose sum is σ = 1256961888. Its totient is φ = 170496000.

The previous prime is 468907951. The next prime is 468908017. The reversal of 468908000 is 809864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38672 + ... + 49328.

It is an arithmetic number, because the mean of its divisors is an integer number (13093353).

Almost surely, 2^468908000 is an apocalyptic number.

468908000 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 468908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628480944).

468908000 is an abundant number, since it is smaller than the sum of its proper divisors (788053888).

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

468908000 is a wasteful number, since it uses less digits than its factorization.

468908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10693 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 468908000 is about 21654.2836408873. The cubic root of 468908000 is about 776.8953953927.

The spelling of 468908000 in words is "four hundred sixty-eight million, nine hundred eight thousand".