463821 has 8 divisors (see below), whose sum is σ = 621600. Its totient is φ = 307632.

The previous prime is 463807. The next prime is 463823. The reversal of 463821 is 128364.

463821 = 223² + 224² + ... + 231².

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 463821 - 2⁷ = 463693 is a prime.

It is a Curzon number.

463821 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 463791 and 463800.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 826 + ... + 1268.

It is an arithmetic number, because the mean of its divisors is an integer number (77700).

2⁴⁶³⁸²¹ is an apocalyptic number.

It is an amenable number.

463821 is a deficient number, since it is larger than the sum of its proper divisors (157779).

463821 is a wasteful number, since it uses less digits than its factorization.

463821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795.

The product of its digits is 1152, while the sum is 24.

The square root of 463821 is about 681.0440514387. The cubic root of 463821 is about 77.4075762603.

The spelling of 463821 in words is "four hundred sixty-three thousand, eight hundred twenty-one".