463221 has 12 divisors (see below), whose sum is σ = 730080. Its totient is φ = 280680.

The previous prime is 463219. The next prime is 463231. The reversal of 463221 is 122364.

It is a happy number.

It is not a de Polignac number, because 463221 - 2¹ = 463219 is a prime.

463221 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 463194 and 463203.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 463221.

It is not an unprimeable number, because it can be changed into a prime (463231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2241 + ... + 2438.

It is an arithmetic number, because the mean of its divisors is an integer number (60840).

2⁴⁶³²²¹ is an apocalyptic number.

It is an amenable number.

463221 is a deficient number, since it is larger than the sum of its proper divisors (266859).

463221 is a wasteful number, since it uses less digits than its factorization.

463221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4693 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 463221 is about 680.6034087484. The cubic root of 463221 is about 77.3741836461.

Subtracting from 463221 its sum of digits (18), we obtain a triangular number (463203 = T₉₆₂).

Adding to 463221 its reverse (122364), we get a palindrome (585585).

The spelling of 463221 in words is "four hundred sixty-three thousand, two hundred twenty-one".