407609329 has 2 divisors, whose sum is σ = 407609330. Its totient is φ = 407609328.

The previous prime is 407609311. The next prime is 407609369. The reversal of 407609329 is 923906704.

It is an a-pointer prime, because the next prime (407609369) can be obtained adding 407609329 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226653025 + 180956304 = 15055^2 + 13452^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-407609329 is a prime.

It is a super-2 number, since 2×407609329² = 332290730175660482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 407609291 and 407609300.

It is not a weakly prime, because it can be changed into another prime (407609309) 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 as a sum of consecutive naturals, namely, 203804664 + 203804665.

It is an arithmetic number, because the mean of its divisors is an integer number (203804665).

Almost surely, 2^407609329 is an apocalyptic number.

It is an amenable number.

407609329 is a deficient number, since it is larger than the sum of its proper divisors (1).

407609329 is an equidigital number, since it uses as much as digits as its factorization.

407609329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 407609329 is about 20189.3370123934. The cubic root of 407609329 is about 741.4491501561.

The spelling of 407609329 in words is "four hundred seven million, six hundred nine thousand, three hundred twenty-nine".