407667349 has 2 divisors, whose sum is σ = 407667350. Its totient is φ = 407667348.

The previous prime is 407667347. The next prime is 407667373. The reversal of 407667349 is 943766704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 401000625 + 6666724 = 20025^2 + 2582^2 .

It is a cyclic number.

It is not a de Polignac number, because 407667349 - 2¹ = 407667347 is a prime.

Together with 407667347, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 407667299 and 407667308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407667347) 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, 203833674 + 203833675.

It is an arithmetic number, because the mean of its divisors is an integer number (203833675).

Almost surely, 2^407667349 is an apocalyptic number.

It is an amenable number.

407667349 is a deficient number, since it is larger than the sum of its proper divisors (1).

407667349 is an equidigital number, since it uses as much as digits as its factorization.

407667349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 762048, while the sum is 46.

The square root of 407667349 is about 20190.7738583740. The cubic root of 407667349 is about 741.4843283162.

The spelling of 407667349 in words is "four hundred seven million, six hundred sixty-seven thousand, three hundred forty-nine".