463168296 has 96 divisors (see below), whose sum is σ = 1314144000. Its totient is φ = 147092352.

The previous prime is 463168261. The next prime is 463168297. The reversal of 463168296 is 692861364.

463168296 is a `hidden beast` number, since 4 + 631 + 6 + 8 + 2 + 9 + 6 = 666.

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 (463168297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643825 + ... + 644543.

It is an arithmetic number, because the mean of its divisors is an integer number (13689000).

Almost surely, 2^463168296 is an apocalyptic number.

463168296 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

463168296 is the 11504-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463168296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657072000).

463168296 is an abundant number, since it is smaller than the sum of its proper divisors (850975704).

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

463168296 is a wasteful number, since it uses less digits than its factorization.

463168296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1136 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 463168296 is about 21521.3451252472. The cubic root of 463168296 is about 773.7124906152.

It can be divided in two parts, 4631 and 68296, that added together give a palindrome (72927).

The spelling of 463168296 in words is "four hundred sixty-three million, one hundred sixty-eight thousand, two hundred ninety-six".