407409349 has 2 divisors, whose sum is σ = 407409350. Its totient is φ = 407409348.

The previous prime is 407409319. The next prime is 407409389. The reversal of 407409349 is 943904704.

It is an a-pointer prime, because the next prime (407409389) can be obtained adding 407409349 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., 213364449 + 194044900 = 14607^2 + 13930^2 .

It is a cyclic number.

It is not a de Polignac number, because 407409349 - 2¹³ = 407401157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407409319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203704674 + 203704675.

It is an arithmetic number, because the mean of its divisors is an integer number (203704675).

Almost surely, 2^407409349 is an apocalyptic number.

It is an amenable number.

407409349 is a deficient number, since it is larger than the sum of its proper divisors (1).

407409349 is an equidigital number, since it uses as much as digits as its factorization.

407409349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 407409349 is about 20184.3837904455. The cubic root of 407409349 is about 741.3278745082.

The spelling of 407409349 in words is "four hundred seven million, four hundred nine thousand, three hundred forty-nine".