460660368 has 120 divisors (see below), whose sum is σ = 1403817888. Its totient is φ = 129765888.

The previous prime is 460660367. The next prime is 460660423. The reversal of 460660368 is 863066064.

It is a Cunningham number, because it is equal to 21463²-1.

It is not an unprimeable number, because it can be changed into a prime (460660363) 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, 170355 + ... + 173037.

Almost surely, 2^460660368 is an apocalyptic number.

460660368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460660368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701908944).

460660368 is an abundant number, since it is smaller than the sum of its proper divisors (943157520).

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

460660368 is a wasteful number, since it uses less digits than its factorization.

460660368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 460660368 is about 21462.9999767041. Note that the first 4 decimals coincide. The cubic root of 460660368 is about 772.3134828968.

The spelling of 460660368 in words is "four hundred sixty million, six hundred sixty thousand, three hundred sixty-eight".