414140509 has 2 divisors, whose sum is σ = 414140510. Its totient is φ = 414140508.

The previous prime is 414140497. The next prime is 414140521. The reversal of 414140509 is 905041414.

It is a balanced prime because it is at equal distance from previous prime (414140497) and next prime (414140521).

It can be written as a sum of positive squares in only one way, i.e., 301716900 + 112423609 = 17370^2 + 10603^2 .

It is a cyclic number.

It is not a de Polignac number, because 414140509 - 2⁹ = 414139997 is a prime.

It is a super-2 number, since 2×414140509² = 343024722389558162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414140539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207070254 + 207070255.

It is an arithmetic number, because the mean of its divisors is an integer number (207070255).

Almost surely, 2^414140509 is an apocalyptic number.

It is an amenable number.

414140509 is a deficient number, since it is larger than the sum of its proper divisors (1).

414140509 is an equidigital number, since it uses as much as digits as its factorization.

414140509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 414140509 is about 20350.4424767620. The cubic root of 414140509 is about 745.3882989996.

The spelling of 414140509 in words is "four hundred fourteen million, one hundred forty thousand, five hundred nine".