466808472 has 192 divisors, whose sum is σ = 1415232000. Its totient is φ = 138108672.

The previous prime is 466808467. The next prime is 466808519. The reversal of 466808472 is 274808664.

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, 4362643 + ... + 4362749.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2^466808472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466808472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

466808472 is an abundant number, since it is smaller than the sum of its proper divisors (948423528).

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

466808472 is a wasteful number, since it uses less digits than its factorization.

466808472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 466808472 is about 21605.7509010911. The cubic root of 466808472 is about 775.7341483124.

The spelling of 466808472 in words is "four hundred sixty-six million, eight hundred eight thousand, four hundred seventy-two".