463827 has 16 divisors (see below), whose sum is σ = 761600. Its totient is φ = 244512.

The previous prime is 463823. The next prime is 463829. The reversal of 463827 is 728364.

It is not a de Polignac number, because 463827 - 2² = 463823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 463794 and 463803.

It is not an unprimeable number, because it can be changed into a 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 in 15 ways as a sum of consecutive naturals, for example, 577 + ... + 1122.

It is an arithmetic number, because the mean of its divisors is an integer number (47600).

2⁴⁶³⁸²⁷ is an apocalyptic number.

463827 is a deficient number, since it is larger than the sum of its proper divisors (297773).

463827 is a wasteful number, since it uses less digits than its factorization.

463827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722.

The product of its digits is 8064, while the sum is 30.

The square root of 463827 is about 681.0484564258. The cubic root of 463827 is about 77.4079100410.

The spelling of 463827 in words is "four hundred sixty-three thousand, eight hundred twenty-seven".