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407690561 is a prime number
BaseRepresentation
bin11000010011001…
…101110101000001
31001102010211022102
4120103031311001
51313332044221
6104242120145
713050212135
oct3023156501
91042124272
10407690561
1119a148a53
12b4650055
1366604c25
143c2073c5
1525bd230b
hex184cdd41

407690561 has 2 divisors, whose sum is σ = 407690562. Its totient is φ = 407690560.

The previous prime is 407690519. The next prime is 407690573. The reversal of 407690561 is 165096704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224250625 + 183439936 = 14975^2 + 13544^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-407690561 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (407690501) 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, 203845280 + 203845281.

It is an arithmetic number, because the mean of its divisors is an integer number (203845281).

Almost surely, 2407690561 is an apocalyptic number.

It is an amenable number.

407690561 is a deficient number, since it is larger than the sum of its proper divisors (1).

407690561 is an equidigital number, since it uses as much as digits as its factorization.

407690561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 407690561 is about 20191.3486671891. The cubic root of 407690561 is about 741.4984010707.

The spelling of 407690561 in words is "four hundred seven million, six hundred ninety thousand, five hundred sixty-one".