460303074432 has 256 divisors, whose sum is σ = 1450723968000. Its totient is φ = 143363727360.

The previous prime is 460303074331. The next prime is 460303074467. The reversal of 460303074432 is 234470303064.

460303074432 is a `hidden beast` number, since 4 + 603 + 0 + 3 + 0 + 7 + 4 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3032868 + ... + 3181020.

It is an arithmetic number, because the mean of its divisors is an integer number (5666890500).

Almost surely, 2^460303074432 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 460303074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725361984000).

460303074432 is an abundant number, since it is smaller than the sum of its proper divisors (990420893568).

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

460303074432 is a wasteful number, since it uses less digits than its factorization.

460303074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148236 (or 148218 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

Adding to 460303074432 its reverse (234470303064), we get a palindrome (694773377496).

The spelling of 460303074432 in words is "four hundred sixty billion, three hundred three million, seventy-four thousand, four hundred thirty-two".