414102349 has 2 divisors, whose sum is σ = 414102350. Its totient is φ = 414102348.

The previous prime is 414102331. The next prime is 414102361. The reversal of 414102349 is 943201414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287539849 + 126562500 = 16957^2 + 11250^2 .

It is a cyclic number.

It is not a de Polignac number, because 414102349 - 2⁹ = 414101837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414102379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207051174 + 207051175.

It is an arithmetic number, because the mean of its divisors is an integer number (207051175).

Almost surely, 2^414102349 is an apocalyptic number.

It is an amenable number.

414102349 is a deficient number, since it is larger than the sum of its proper divisors (1).

414102349 is an equidigital number, since it uses as much as digits as its factorization.

414102349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 414102349 is about 20349.5048834118. The cubic root of 414102349 is about 745.3654042811.

The spelling of 414102349 in words is "four hundred fourteen million, one hundred two thousand, three hundred forty-nine".