460261168 has 40 divisors (see below), whose sum is σ = 941569200. Its totient is φ = 217350144.

The previous prime is 460261163. The next prime is 460261199. The reversal of 460261168 is 861162064.

It is not an unprimeable number, because it can be changed into a prime (460261163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105168 + ... + 109456.

It is an arithmetic number, because the mean of its divisors is an integer number (23539230).

Almost surely, 2^460261168 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 460261168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470784600).

460261168 is an abundant number, since it is smaller than the sum of its proper divisors (481308032).

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

460261168 is a wasteful number, since it uses less digits than its factorization.

460261168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 460261168 is about 21453.6982359685. The cubic root of 460261168 is about 772.0903274265.

The spelling of 460261168 in words is "four hundred sixty million, two hundred sixty-one thousand, one hundred sixty-eight".