220446 has 24 divisors (see below), whose sum is σ = 492024. Its totient is φ = 71280.

The previous prime is 220421. The next prime is 220447. The reversal of 220446 is 644022.

220446 is a `hidden beast` number, since 220 + 446 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220447) 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 11 ways as a sum of consecutive naturals, for example, 501 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (20501).

2²²⁰⁴⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246012).

220446 is an abundant number, since it is smaller than the sum of its proper divisors (271578).

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

220446 is a wasteful number, since it uses less digits than its factorization.

220446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220446 is about 469.5167728633. The cubic root of 220446 is about 60.4088740379.

Adding to 220446 its reverse (644022), we get a palindrome (864468).

It can be divided in two parts, 220 and 446, that added together give a palindrome (666).

The spelling of 220446 in words is "two hundred twenty thousand, four hundred forty-six".