460314288889 has 24 divisors (see below), whose sum is σ = 578027530248. Its totient is φ = 363339406080.

The previous prime is 460314288869. The next prime is 460314288911. The reversal of 460314288889 is 988882413064.

It can be written as a sum of positive squares in 4 ways, for example, as 3493755664 + 456820533225 = 59108^2 + 675885^2 .

It is not a de Polignac number, because 460314288889 - 2¹⁹ = 460313764601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (460314288809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590052 + ... + 1126405.

It is an arithmetic number, because the mean of its divisors is an integer number (24084480427).

Almost surely, 2^460314288889 is an apocalyptic number.

460314288889 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

460314288889 is a deficient number, since it is larger than the sum of its proper divisors (117713241359).

460314288889 is a wasteful number, since it uses less digits than its factorization.

460314288889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716905 (or 1716898 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 61.

The spelling of 460314288889 in words is "four hundred sixty billion, three hundred fourteen million, two hundred eighty-eight thousand, eight hundred eighty-nine".