460804755456 has 156 divisors (see below), whose sum is σ = 1332003939708. Its totient is φ = 153491668992.

The previous prime is 460804755449. The next prime is 460804755469. The reversal of 460804755456 is 654557408064.

460804755456 is a `hidden beast` number, since 4 + 6 + 0 + 80 + 4 + 7 + 554 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 299007737856 + 161797017600 = 546816^2 + 402240^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63881706 + ... + 63888918.

It is an arithmetic number, because the mean of its divisors is an integer number (8538486793).

Almost surely, 2^460804755456 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 460804755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666001969854).

460804755456 is an abundant number, since it is smaller than the sum of its proper divisors (871199184252).

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

460804755456 is a wasteful number, since it uses less digits than its factorization.

460804755456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8976 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 460804755456 in words is "four hundred sixty billion, eight hundred four million, seven hundred fifty-five thousand, four hundred fifty-six".