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420404461 is a prime number
BaseRepresentation
bin11001000011101…
…101110011101101
31002022001202111121
4121003231303231
51330110420321
6105414420541
713263243661
oct3103556355
91068052447
10420404461
111a6342104
12b8961751
1369136b49
143db968a1
1526d94441
hex190edced

420404461 has 2 divisors, whose sum is σ = 420404462. Its totient is φ = 420404460.

The previous prime is 420404401. The next prime is 420404473. The reversal of 420404461 is 164404024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 374422500 + 45981961 = 19350^2 + 6781^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420404461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420404401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210202230 + 210202231.

It is an arithmetic number, because the mean of its divisors is an integer number (210202231).

Almost surely, 2420404461 is an apocalyptic number.

It is an amenable number.

420404461 is a deficient number, since it is larger than the sum of its proper divisors (1).

420404461 is an equidigital number, since it uses as much as digits as its factorization.

420404461 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 25.

The square root of 420404461 is about 20503.7669953597. The cubic root of 420404461 is about 749.1275549946.

Adding to 420404461 its reverse (164404024), we get a palindrome (584808485).

The spelling of 420404461 in words is "four hundred twenty million, four hundred four thousand, four hundred sixty-one".