414082849 has 2 divisors, whose sum is σ = 414082850. Its totient is φ = 414082848.

The previous prime is 414082727. The next prime is 414082861. The reversal of 414082849 is 948280414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408322849 + 5760000 = 20207^2 + 2400^2 .

It is a cyclic number.

It is not a de Polignac number, because 414082849 - 2⁹ = 414082337 is a prime.

It is not a weakly prime, because it can be changed into another prime (414082349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207041424 + 207041425.

It is an arithmetic number, because the mean of its divisors is an integer number (207041425).

Almost surely, 2^414082849 is an apocalyptic number.

It is an amenable number.

414082849 is a deficient number, since it is larger than the sum of its proper divisors (1).

414082849 is an equidigital number, since it uses as much as digits as its factorization.

414082849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 414082849 is about 20349.0257506348. The cubic root of 414082849 is about 745.3537043929.

The spelling of 414082849 in words is "four hundred fourteen million, eighty-two thousand, eight hundred forty-nine".