463833216 has 480 divisors, whose sum is σ = 1772804880. Its totient is φ = 119024640.

The previous prime is 463833211. The next prime is 463833257. The reversal of 463833216 is 612338364.

463833216 is a `hidden beast` number, since 4 + 638 + 3 + 3 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (463833211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5588311 + ... + 5588393.

Almost surely, 2^463833216 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 463833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886402440).

463833216 is an abundant number, since it is smaller than the sum of its proper divisors (1308971664).

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

463833216 is a wasteful number, since it uses less digits than its factorization.

463833216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 463833216 is about 21536.7875041753. The cubic root of 463833216 is about 774.0825583471.

The spelling of 463833216 in words is "four hundred sixty-three million, eight hundred thirty-three thousand, two hundred sixteen".