414140497 has 2 divisors, whose sum is σ = 414140498. Its totient is φ = 414140496.

The previous prime is 414140483. The next prime is 414140509. The reversal of 414140497 is 794041414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 345067776 + 69072721 = 18576^2 + 8311^2 .

It is a cyclic number.

It is not a de Polignac number, because 414140497 - 2¹⁹ = 413616209 is a prime.

It is not a weakly prime, because it can be changed into another prime (414140197) 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, 207070248 + 207070249.

It is an arithmetic number, because the mean of its divisors is an integer number (207070249).

Almost surely, 2^414140497 is an apocalyptic number.

It is an amenable number.

414140497 is a deficient number, since it is larger than the sum of its proper divisors (1).

414140497 is an equidigital number, since it uses as much as digits as its factorization.

414140497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 414140497 is about 20350.4421819281. The cubic root of 414140497 is about 745.3882918003.

The spelling of 414140497 in words is "four hundred fourteen million, one hundred forty thousand, four hundred ninety-seven".