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463814431 is a prime number
BaseRepresentation
bin11011101001010…
…011111100011111
31012022202012210021
4123221103330133
51422214030211
6114005053011
714331233443
oct3351237437
91168665707
10463814431
112188a1713
1210b3b7167
1375125812
1445856823
152aabb771
hex1ba53f1f

463814431 has 2 divisors, whose sum is σ = 463814432. Its totient is φ = 463814430.

The previous prime is 463814419. The next prime is 463814441. The reversal of 463814431 is 134418364.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 463814431 - 27 = 463814303 is a prime.

It is a super-2 number, since 2×4638144312 = 430247652807707522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (463814441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231907215 + 231907216.

It is an arithmetic number, because the mean of its divisors is an integer number (231907216).

Almost surely, 2463814431 is an apocalyptic number.

463814431 is a deficient number, since it is larger than the sum of its proper divisors (1).

463814431 is an equidigital number, since it uses as much as digits as its factorization.

463814431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27648, while the sum is 34.

The square root of 463814431 is about 21536.3513855063. The cubic root of 463814431 is about 774.0721082279.

The spelling of 463814431 in words is "four hundred sixty-three million, eight hundred fourteen thousand, four hundred thirty-one".