406768430656 has 105 divisors (see below), whose sum is σ = 942234381339. Its totient is φ = 174222179712.

The previous prime is 406768430609. The next prime is 406768430671. The reversal of 406768430656 is 656034867604.

The square root of 406768430656 is 637784.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 406768430597 and 406768430606.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 250010515 + ... + 250012141.

Almost surely, 2^406768430656 is an apocalyptic number.

406768430656 is the 637784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406768430656

406768430656 is an abundant number, since it is smaller than the sum of its proper divisors (535465950683).

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

406768430656 is an frugal number, since it uses more digits than its factorization.

406768430656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 406768430656 in words is "four hundred six billion, seven hundred sixty-eight million, four hundred thirty thousand, six hundred fifty-six".