466975008 has 144 divisors (see below), whose sum is σ = 1421784000. Its totient is φ = 144944640.

The previous prime is 466975001. The next prime is 466975013. The reversal of 466975008 is 800579664.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (466975001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333093 + ... + 334491.

It is an arithmetic number, because the mean of its divisors is an integer number (9873500).

Almost surely, 2^466975008 is an apocalyptic number.

466975008 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 466975008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892000).

466975008 is an abundant number, since it is smaller than the sum of its proper divisors (954808992).

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

466975008 is a wasteful number, since it uses less digits than its factorization.

466975008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 466975008 is about 21609.6045313189. The cubic root of 466975008 is about 775.8263862145.

The spelling of 466975008 in words is "four hundred sixty-six million, nine hundred seventy-five thousand, eight".