220464 has 30 divisors (see below), whose sum is σ = 617396. Its totient is φ = 73440.

The previous prime is 220447. The next prime is 220469. The reversal of 220464 is 464022.

220464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (220469) by changing a digit.

220464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 622 + ... + 909.

2²²⁰⁴⁶⁴ is an apocalyptic number.

220464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220464 is an abundant number, since it is smaller than the sum of its proper divisors (396932).

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

220464 is a wasteful number, since it uses less digits than its factorization.

220464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1536 counting only the distinct ones).

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

The square root of 220464 is about 469.5359411163. The cubic root of 220464 is about 60.4105181747.

Adding to 220464 its reverse (464022), we get a palindrome (684486).

The spelling of 220464 in words is "two hundred twenty thousand, four hundred sixty-four".