460928728755 has 96 divisors (see below), whose sum is σ = 915087663360. Its totient is φ = 212553411840.

The previous prime is 460928728717. The next prime is 460928728759. The reversal of 460928728755 is 557827829064.

460928728755 is a `hidden beast` number, since 460 + 9 + 2 + 87 + 28 + 75 + 5 = 666.

It is not a de Polignac number, because 460928728755 - 2⁸ = 460928728499 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 460928728692 and 460928728701.

It is not an unprimeable number, because it can be changed into a prime (460928728759) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 722164 + ... + 1201406.

It is an arithmetic number, because the mean of its divisors is an integer number (9532163160).

Almost surely, 2^460928728755 is an apocalyptic number.

460928728755 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

460928728755 is a deficient number, since it is larger than the sum of its proper divisors (454158934605).

460928728755 is a wasteful number, since it uses less digits than its factorization.

460928728755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479361 (or 479358 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 460928728755 in words is "four hundred sixty billion, nine hundred twenty-eight million, seven hundred twenty-eight thousand, seven hundred fifty-five".