8407606249 has 9 divisors (see below), whose sum is σ = 9781023357. Its totient is φ = 7205969484.

The previous prime is 8407606183. The next prime is 8407606279. The reversal of 8407606249 is 9426067048.

It is a happy number.

The square root of 8407606249 is 91693.

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

8407606249 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8407606249 - 2⁹ = 8407605737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8407606199 and 8407606208.

It is not an unprimeable number, because it can be changed into a prime (8407606279) 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 8 ways as a sum of consecutive naturals, for example, 635302 + ... + 648400.

It is an arithmetic number, because the mean of its divisors is an integer number (1086780373).

Almost surely, 2^8407606249 is an apocalyptic number.

8407606249 is the 91693-rd square number.

8407606249 is the 45847-th centered octagonal number.

It is an amenable number.

8407606249 is a deficient number, since it is larger than the sum of its proper divisors (1373417108).

8407606249 is an frugal number, since it uses more digits than its factorization.

8407606249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26212 (or 13106 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The cubic root of 8407606249 is about 2033.4060970796.

It can be divided in two parts, 8407 and 606249, that added together give a 4-th power (614656 = 28⁴).

The spelling of 8407606249 in words is "eight billion, four hundred seven million, six hundred six thousand, two hundred forty-nine".