414020249 has 2 divisors, whose sum is σ = 414020250. Its totient is φ = 414020248.

The previous prime is 414020231. The next prime is 414020273. The reversal of 414020249 is 942020414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305131024 + 108889225 = 17468^2 + 10435^2 .

It is a cyclic number.

It is not a de Polignac number, because 414020249 - 2¹² = 414016153 is a prime.

It is a super-3 number, since 3×414020249³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (414020209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207010124 + 207010125.

It is an arithmetic number, because the mean of its divisors is an integer number (207010125).

Almost surely, 2^414020249 is an apocalyptic number.

It is an amenable number.

414020249 is a deficient number, since it is larger than the sum of its proper divisors (1).

414020249 is an equidigital number, since it uses as much as digits as its factorization.

414020249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 414020249 is about 20347.4875353199. The cubic root of 414020249 is about 745.3161422694.

It can be divided in two parts, 4140 and 20249, that added together give a cube (24389 = 29³).

The spelling of 414020249 in words is "four hundred fourteen million, twenty thousand, two hundred forty-nine".