463875216 has 80 divisors (see below), whose sum is σ = 1406588544. Its totient is φ = 128950272.

The previous prime is 463875211. The next prime is 463875259. The reversal of 463875216 is 612578364.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (463875211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6225 + ... + 31088.

Almost surely, 2^463875216 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 463875216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703294272).

463875216 is an abundant number, since it is smaller than the sum of its proper divisors (942713328).

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

463875216 is a wasteful number, since it uses less digits than its factorization.

463875216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37368 (or 37362 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 463875216 is about 21537.7625578889. The cubic root of 463875216 is about 774.1059219794.

The spelling of 463875216 in words is "four hundred sixty-three million, eight hundred seventy-five thousand, two hundred sixteen".