463719168 has 360 divisors, whose sum is σ = 1602659520. Its totient is φ = 131880960.

The previous prime is 463719167. The next prime is 463719229. The reversal of 463719168 is 861917364.

It is a happy number.

463719168 is a `hidden beast` number, since 4 + 637 + 1 + 9 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×463719168² = 430070933541224448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (463719161) 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 39 ways as a sum of consecutive naturals, for example, 4333771 + ... + 4333877.

It is an arithmetic number, because the mean of its divisors is an integer number (4451832).

Almost surely, 2^463719168 is an apocalyptic number.

463719168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463719168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801329760).

463719168 is an abundant number, since it is smaller than the sum of its proper divisors (1138940352).

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

463719168 is a wasteful number, since it uses less digits than its factorization.

463719168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 463719168 is about 21534.1395927490. The cubic root of 463719168 is about 774.0191089567.

The spelling of 463719168 in words is "four hundred sixty-three million, seven hundred nineteen thousand, one hundred sixty-eight".