461163168 has 36 divisors (see below), whose sum is σ = 1311433578. Its totient is φ = 153720960.

The previous prime is 461163163. The next prime is 461163181. The reversal of 461163168 is 861361164.

461163168 is a `hidden beast` number, since 4 + 6 + 11 + 631 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 396328464 + 64834704 = 19908^2 + 8052^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 not an unprimeable number, because it can be changed into a prime (461163163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 800343 + ... + 800918.

Almost surely, 2^461163168 is an apocalyptic number.

461163168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

461163168 is an abundant number, since it is smaller than the sum of its proper divisors (850270410).

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

461163168 is a wasteful number, since it uses less digits than its factorization.

461163168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601277 (or 1601266 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 461163168 is about 21474.7099631171. The cubic root of 461163168 is about 772.5943680864.

It can be divided in two parts, 46116 and 3168, that added together give a square (49284 = 222²).

The spelling of 461163168 in words is "four hundred sixty-one million, one hundred sixty-three thousand, one hundred sixty-eight".