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405620401 is a prime number
BaseRepresentation
bin11000001011010…
…100011010110001
31001021020122120211
4120023110122301
51312314323101
6104125504121
713023500524
oct3013243261
91037218524
10405620401
11198a6467a
12b3a12041
136605b894
143bc28bbb
1525923c51
hex182d46b1

405620401 has 2 divisors, whose sum is σ = 405620402. Its totient is φ = 405620400.

The previous prime is 405620359. The next prime is 405620407. The reversal of 405620401 is 104026504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206669376 + 198951025 = 14376^2 + 14105^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-405620401 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (405620407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202810200 + 202810201.

It is an arithmetic number, because the mean of its divisors is an integer number (202810201).

Almost surely, 2405620401 is an apocalyptic number.

It is an amenable number.

405620401 is a deficient number, since it is larger than the sum of its proper divisors (1).

405620401 is an equidigital number, since it uses as much as digits as its factorization.

405620401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 405620401 is about 20140.0198857896. The cubic root of 405620401 is about 740.2412173201.

Adding to 405620401 its reverse (104026504), we get a palindrome (509646905).

The spelling of 405620401 in words is "four hundred five million, six hundred twenty thousand, four hundred one".