463332168 has 96 divisors (see below), whose sum is σ = 1370099640. Its totient is φ = 140590080.

The previous prime is 463332139. The next prime is 463332173. The reversal of 463332168 is 861233364.

463332168 is a `hidden beast` number, since 4 + 633 + 3 + 2 + 16 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 321198084 + 142134084 = 17922^2 + 11922^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64938 + ... + 71718.

Almost surely, 2^463332168 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 463332168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685049820).

463332168 is an abundant number, since it is smaller than the sum of its proper divisors (906767472).

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

463332168 is a wasteful number, since it uses less digits than its factorization.

463332168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6879 (or 6872 counting only the distinct ones).

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

The square root of 463332168 is about 21525.1519855261. The cubic root of 463332168 is about 773.8037280511.

The spelling of 463332168 in words is "four hundred sixty-three million, three hundred thirty-two thousand, one hundred sixty-eight".