414049 has 2 divisors, whose sum is σ = 414050. Its totient is φ = 414048.

The previous prime is 414031. The next prime is 414053. The reversal of 414049 is 940414.

It is a happy number.

414049 is nontrivially palindromic in base 8.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 342225 + 71824 = 585^2 + 268^2 .

It is a cyclic number.

It is not a de Polignac number, because 414049 - 2⁵ = 414017 is a prime.

It is not a weakly prime, because it can be changed into another prime (414019) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207024 + 207025.

It is an arithmetic number, because the mean of its divisors is an integer number (207025).

2⁴¹⁴⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

414049 is a deficient number, since it is larger than the sum of its proper divisors (1).

414049 is an equidigital number, since it uses as much as digits as its factorization.

414049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 414049 is about 643.4663938389. The cubic root of 414049 is about 74.5333394315.

The spelling of 414049 in words is "four hundred fourteen thousand, forty-nine".