463220 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 164736.

The previous prime is 463219. The next prime is 463231. The reversal of 463220 is 22364.

It is a super-3 number, since 3×463220³ = 298183193334744000, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8714 + ... + 8766.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴⁶³²²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

463220 is an abundant number, since it is smaller than the sum of its proper divisors (625420).

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

463220 is a wasteful number, since it uses less digits than its factorization.

463220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 463220 is about 680.6026741058. The cubic root of 463220 is about 77.3741279677.

Subtracting from 463220 its sum of digits (17), we obtain a triangular number (463203 = T₉₆₂).

Adding to 463220 its reverse (22364), we get a palindrome (485584).

The spelling of 463220 in words is "four hundred sixty-three thousand, two hundred twenty".