460789435904 has 80 divisors (see below), whose sum is σ = 1052410022400. Its totient is φ = 197442607104.

The previous prime is 460789435903. The next prime is 460789435913. The reversal of 460789435904 is 409534987064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460789435903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25648877 + ... + 25666835.

It is an arithmetic number, because the mean of its divisors is an integer number (13155125280).

Almost surely, 2^460789435904 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 460789435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526205011200).

460789435904 is an abundant number, since it is smaller than the sum of its proper divisors (591620586496).

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

460789435904 is an equidigital number, since it uses as much as digits as its factorization.

460789435904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25143 (or 25127 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 460789435904 in words is "four hundred sixty billion, seven hundred eighty-nine million, four hundred thirty-five thousand, nine hundred four".