7306830401 has 32 divisors (see below), whose sum is σ = 8642259360. Its totient is φ = 6112641024.

The previous prime is 7306830359. The next prime is 7306830431. The reversal of 7306830401 is 1040386037.

It is a Cunningham number, because it is equal to 85480²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 4011955600 + 3294874801 = 63340^2 + 57401^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7306830401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7306830431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2773781 + ... + 2776413.

It is an arithmetic number, because the mean of its divisors is an integer number (270070605).

Almost surely, 2^7306830401 is an apocalyptic number.

It is an amenable number.

7306830401 is a deficient number, since it is larger than the sum of its proper divisors (1335428959).

7306830401 is a wasteful number, since it uses less digits than its factorization.

7306830401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 7306830401 is about 85480.0000058493. Note that the first 5 decimals coincide. The cubic root of 7306830401 is about 1940.4822552281.

The spelling of 7306830401 in words is "seven billion, three hundred six million, eight hundred thirty thousand, four hundred one".