414299021 has 2 divisors, whose sum is σ = 414299022. Its totient is φ = 414299020.

The previous prime is 414298999. The next prime is 414299033. The reversal of 414299021 is 120992414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413674921 + 624100 = 20339^2 + 790^2 .

It is a cyclic number.

It is not a de Polignac number, because 414299021 - 2¹⁴ = 414282637 is a prime.

It is a super-3 number, since 3×414299021³ (a number of 27 digits) contains 333 as substring.

It is equal to p_22057529 and since 414299021 and 22057529 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414299051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207149510 + 207149511.

It is an arithmetic number, because the mean of its divisors is an integer number (207149511).

Almost surely, 2^414299021 is an apocalyptic number.

It is an amenable number.

414299021 is a deficient number, since it is larger than the sum of its proper divisors (1).

414299021 is an equidigital number, since it uses as much as digits as its factorization.

414299021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 414299021 is about 20354.3366632273. The cubic root of 414299021 is about 745.4833858251.

The spelling of 414299021 in words is "four hundred fourteen million, two hundred ninety-nine thousand, twenty-one".