984256457409 has 15 divisors (see below), whose sum is σ = 1470322367283. Its totient is φ = 656165019024.

The previous prime is 984256457399. The next prime is 984256457411. The reversal of 984256457409 is 904754652489.

The square root of 984256457409 is 992097.

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

984256457409 is a `hidden beast` number, since 9 + 8 + 4 + 2 + 56 + 4 + 574 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 983935044225 + 321413184 = 991935^2 + 17928^2 .

It is not a de Polignac number, because 984256457409 - 2⁵ = 984256457377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (984256459409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8873757 + ... + 8983989.

Almost surely, 2^984256457409 is an apocalyptic number.

984256457409 is the 992097-th square number.

984256457409 is the 496049-th centered octagonal number.

It is an amenable number.

984256457409 is a deficient number, since it is larger than the sum of its proper divisors (486065909874).

984256457409 is an frugal number, since it uses more digits than its factorization.

984256457409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220478 (or 110236 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 984256457409 in words is "nine hundred eighty-four billion, two hundred fifty-six million, four hundred fifty-seven thousand, four hundred nine".