463224216 has 64 divisors (see below), whose sum is σ = 1425312000. Its totient is φ = 122168448.

The previous prime is 463224137. The next prime is 463224241. The reversal of 463224216 is 612422364.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103866 + ... + 108233.

It is an arithmetic number, because the mean of its divisors is an integer number (22270500).

Almost surely, 2^463224216 is an apocalyptic number.

It is an amenable number.

463224216 is an abundant number, since it is smaller than the sum of its proper divisors (962087784).

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

463224216 is a wasteful number, since it uses less digits than its factorization.

463224216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212128 (or 212124 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 463224216 is about 21522.6442613355. The cubic root of 463224216 is about 773.7436270738.

The spelling of 463224216 in words is "four hundred sixty-three million, two hundred twenty-four thousand, two hundred sixteen".