463224 has 16 divisors (see below), whose sum is σ = 1158120. Its totient is φ = 154400.

The previous prime is 463219. The next prime is 463231. The reversal of 463224 is 422364.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 463224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9627 + ... + 9674.

2⁴⁶³²²⁴ is an apocalyptic number.

It is an amenable number.

463224 is an abundant number, since it is smaller than the sum of its proper divisors (694896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463224 is a wasteful number, since it uses less digits than its factorization.

463224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19310 (or 19306 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 463224 is about 680.6056126715. The cubic root of 463224 is about 77.3743506809.

Subtracting from 463224 its sum of digits (21), we obtain a triangular number (463203 = T₉₆₂).

Adding to 463224 its reverse (422364), we get a palindrome (885588).

It can be divided in two parts, 4632 and 24, that added together give a triangular number (4656 = T₉₆).

The spelling of 463224 in words is "four hundred sixty-three thousand, two hundred twenty-four".