463 has 2 divisors, whose sum is σ = 464. Its totient is φ = 462.

The previous prime is 461. The next prime is 467. The reversal of 463 is 364.

Adding to 463 its product of digits (72), we get a palindrome (535).

Subtracting from 463 its reverse (364), we obtain a palindrome (99).

It can be divided in two parts, 46 and 3, that added together give a square (49 = 7^{2}).

463 is nontrivially palindromic in base 8.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 463 - 2^{1} = 461 is a prime.

Together with 461, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as **4** + **6**^{3} + **3**^{5} .

It is the 22-nd Hogben number.

463 is an undulating number in base 8.

463 is a lucky number.

It is a plaindrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461) by changing a digit.

It is a nontrivial repunit in base 21.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231 + 232.

It is an arithmetic number, because the mean of its divisors is an integer number (232).

463 is the 12-th centered heptagonal number.

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

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

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

The product of its digits is 72, while the sum is 13.

The square root of 463 is about 21.5174347914. The cubic root of 463 is about 7.7361876767.

The spelling of 463 in words is "four hundred sixty-three", and thus it is an aban number.

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