407907949 has 2 divisors, whose sum is σ = 407907950. Its totient is φ = 407907948.

The previous prime is 407907947. The next prime is 407907961. The reversal of 407907949 is 949709704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248062500 + 159845449 = 15750^2 + 12643^2 .

It is a cyclic number.

It is not a de Polignac number, because 407907949 - 2¹ = 407907947 is a prime.

Together with 407907947, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407907947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203953974 + 203953975.

It is an arithmetic number, because the mean of its divisors is an integer number (203953975).

Almost surely, 2^407907949 is an apocalyptic number.

It is an amenable number.

407907949 is a deficient number, since it is larger than the sum of its proper divisors (1).

407907949 is an equidigital number, since it uses as much as digits as its factorization.

407907949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 571536, while the sum is 49.

The square root of 407907949 is about 20196.7311464009. The cubic root of 407907949 is about 741.6301711172.

The spelling of 407907949 in words is "four hundred seven million, nine hundred seven thousand, nine hundred forty-nine".