467286912 has 192 divisors, whose sum is σ = 1456213200. Its totient is φ = 143327232.

The previous prime is 467286907. The next prime is 467286961. The reversal of 467286912 is 219682764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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, 809568 + ... + 810144.

Almost surely, 2^467286912 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 467286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728106600).

467286912 is an abundant number, since it is smaller than the sum of its proper divisors (988926288).

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

467286912 is a wasteful number, since it uses less digits than its factorization.

467286912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 638 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 467286912 is about 21616.8201176769. The cubic root of 467286912 is about 775.9990788950. Note that the first 3 decimals are identical.

The spelling of 467286912 in words is "four hundred sixty-seven million, two hundred eighty-six thousand, nine hundred twelve".