8400824305 has 8 divisors (see below), whose sum is σ = 10219085352. Its totient is φ = 6628595328.

The previous prime is 8400824281. The next prime is 8400824317. The reversal of 8400824305 is 5034280048.

8400824305 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1336926096 + 7063898209 = 36564^2 + 84047^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8400824305 - 2⁹ = 8400823793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11507614 + ... + 11508343.

It is an arithmetic number, because the mean of its divisors is an integer number (1277385669).

Almost surely, 2^8400824305 is an apocalyptic number.

It is an amenable number.

8400824305 is a deficient number, since it is larger than the sum of its proper divisors (1818261047).

8400824305 is a wasteful number, since it uses less digits than its factorization.

8400824305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23016035.

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 8400824305 is about 91656.0107412493. The cubic root of 8400824305 is about 2032.8592051531.

The spelling of 8400824305 in words is "eight billion, four hundred million, eight hundred twenty-four thousand, three hundred five".