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414000449 is a prime number
BaseRepresentation
bin11000101011010…
…010010101000001
31001212000101211222
4120223102111001
51321441003244
6105025244425
713154642252
oct3053222501
91055011758
10414000449
111a2768735
12b6793715
1367a03ca5
143cdaab29
152652bbee
hex18ad2541

414000449 has 2 divisors, whose sum is σ = 414000450. Its totient is φ = 414000448.

The previous prime is 414000359. The next prime is 414000497. The reversal of 414000449 is 944000414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 316840000 + 97160449 = 17800^2 + 9857^2 .

It is a cyclic number.

It is not a de Polignac number, because 414000449 - 28 = 414000193 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414000049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207000224 + 207000225.

It is an arithmetic number, because the mean of its divisors is an integer number (207000225).

Almost surely, 2414000449 is an apocalyptic number.

It is an amenable number.

414000449 is a deficient number, since it is larger than the sum of its proper divisors (1).

414000449 is an equidigital number, since it uses as much as digits as its factorization.

414000449 is an evil number, because the sum of its binary digits is even.

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

The square root of 414000449 is about 20347.0009829459. Note that the first 3 decimals coincide. The cubic root of 414000449 is about 745.3042608096.

The spelling of 414000449 in words is "four hundred fourteen million, four hundred forty-nine", and thus it is an aban number.