467832816 has 120 divisors (see below), whose sum is σ = 1435015296. Its totient is φ = 141102720.

The previous prime is 467832797. The next prime is 467832817. The reversal of 467832816 is 618238764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467832817) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 416031 + ... + 417153.

Almost surely, 2^467832816 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 467832816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717507648).

467832816 is an abundant number, since it is smaller than the sum of its proper divisors (967182480).

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

467832816 is a wasteful number, since it uses less digits than its factorization.

467832816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1402 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 467832816 is about 21629.4432660667. The cubic root of 467832816 is about 776.3011460928.

The spelling of 467832816 in words is "four hundred sixty-seven million, eight hundred thirty-two thousand, eight hundred sixteen".