463617216 has 56 divisors (see below), whose sum is σ = 1362953840. Its totient is φ = 154538496.

The previous prime is 463617173. The next prime is 463617247. The reversal of 463617216 is 612716364.

It is a happy number.

463617216 is a `hidden beast` number, since 4 + 636 + 1 + 7 + 2 + 16 = 666.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 132421 + ... + 135876.

Almost surely, 2^463617216 is an apocalyptic number.

It is an amenable number.

463617216 is an abundant number, since it is smaller than the sum of its proper divisors (899336624).

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

463617216 is a wasteful number, since it uses less digits than its factorization.

463617216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268318 (or 268302 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 463617216 is about 21531.7722447550. The cubic root of 463617216 is about 773.9623802399.

The spelling of 463617216 in words is "four hundred sixty-three million, six hundred seventeen thousand, two hundred sixteen".