460392104484 has 81 divisors (see below), whose sum is σ = 1260320705553. Its totient is φ = 141642824544.

The previous prime is 460392104411. The next prime is 460392104503. The reversal of 460392104484 is 484401293064.

The square root of 460392104484 is 678522.

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

460392104484 is a `hidden beast` number, since 4 + 60 + 3 + 9 + 2 + 104 + 484 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68105340900 + 392286763584 = 260970^2 + 626328^2 .

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 26 ways as a sum of consecutive naturals, for example, 52920367 + ... + 52929065.

Almost surely, 2^460392104484 is an apocalyptic number.

460392104484 is the 678522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460392104484

460392104484 is an abundant number, since it is smaller than the sum of its proper divisors (799928601069).

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

460392104484 is an equidigital number, since it uses as much as digits as its factorization.

460392104484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17434 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 460392104484 in words is "four hundred sixty billion, three hundred ninety-two million, one hundred four thousand, four hundred eighty-four".