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420461441 is a prime number
BaseRepresentation
bin11001000011111…
…011101110000001
31002022011122122222
4121003323232001
51330114231231
6105415540425
713263602051
oct3103735601
91068148588
10420461441
111a63809a4
12b898a715
1369156a6a
143dbad561
1526da627b
hex190fbb81

420461441 has 2 divisors, whose sum is σ = 420461442. Its totient is φ = 420461440.

The previous prime is 420461423. The next prime is 420461453. The reversal of 420461441 is 144164024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240901441 + 179560000 = 15521^2 + 13400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420461441 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420461441.

It is not a weakly prime, because it can be changed into another prime (420461491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210230720 + 210230721.

It is an arithmetic number, because the mean of its divisors is an integer number (210230721).

Almost surely, 2420461441 is an apocalyptic number.

It is an amenable number.

420461441 is a deficient number, since it is larger than the sum of its proper divisors (1).

420461441 is an equidigital number, since it uses as much as digits as its factorization.

420461441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 420461441 is about 20505.1564490496. The cubic root of 420461441 is about 749.1613980860.

The spelling of 420461441 in words is "four hundred twenty million, four hundred sixty-one thousand, four hundred forty-one".