460461316329 has 45 divisors (see below), whose sum is σ = 800225894061. Its totient is φ = 263096323560.

The previous prime is 460461316327. The next prime is 460461316339. The reversal of 460461316329 is 923613164064.

The square root of 460461316329 is 678573.

It is a perfect power (a square), and thus also a powerful number.

460461316329 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 6 + 1 + 3 + 1 + 632 + 9 = 666.

It is not a de Polignac number, because 460461316329 - 2¹ = 460461316327 is a prime.

It is not an unprimeable number, because it can be changed into a prime (460461316327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 42744714 + ... + 42755484.

Almost surely, 2^460461316329 is an apocalyptic number.

460461316329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

460461316329 is the 678573-rd square number.

460461316329 is the 339287-th centered octagonal number.

It is an amenable number.

460461316329 is a deficient number, since it is larger than the sum of its proper divisors (339764577732).

460461316329 is an frugal number, since it uses more digits than its factorization.

460461316329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21568 (or 10781 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 460461316329 in words is "four hundred sixty billion, four hundred sixty-one million, three hundred sixteen thousand, three hundred twenty-nine".