460044216 has 96 divisors (see below), whose sum is σ = 1304709120. Its totient is φ = 146260800.

The previous prime is 460044209. The next prime is 460044217. The reversal of 460044216 is 612440064.

460044216 is a `hidden beast` number, since 4 + 600 + 4 + 42 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 460044216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460044217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157021 + ... + 159923.

It is an arithmetic number, because the mean of its divisors is an integer number (13590720).

Almost surely, 2^460044216 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 460044216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652354560).

460044216 is an abundant number, since it is smaller than the sum of its proper divisors (844664904).

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

460044216 is a wasteful number, since it uses less digits than its factorization.

460044216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 460044216 is about 21448.6413555731. The cubic root of 460044216 is about 771.9689956854.

The spelling of 460044216 in words is "four hundred sixty million, forty-four thousand, two hundred sixteen".