463829 has 2 divisors, whose sum is σ = 463830. Its totient is φ = 463828.

The previous prime is 463823. The next prime is 463831. The reversal of 463829 is 928364.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240100 + 223729 = 490^2 + 473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-463829 is a prime.

Together with 463831, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 463795 and 463804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (463823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231914 + 231915.

It is an arithmetic number, because the mean of its divisors is an integer number (231915).

2⁴⁶³⁸²⁹ is an apocalyptic number.

It is an amenable number.

463829 is a deficient number, since it is larger than the sum of its proper divisors (1).

463829 is an equidigital number, since it uses as much as digits as its factorization.

463829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 32.

The square root of 463829 is about 681.0499247485. The cubic root of 463829 is about 77.4080213005.

The spelling of 463829 in words is "four hundred sixty-three thousand, eight hundred twenty-nine".