420224 has 48 divisors (see below), whose sum is σ = 988380. Its totient is φ = 177408.

The previous prime is 420221. The next prime is 420241. The reversal of 420224 is 422024.

It is a happy number.

420224 is digitally balanced in base 3, 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 420199 and 420208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6239 + ... + 6305.

2⁴²⁰²²⁴ 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 420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494190).

420224 is an abundant number, since it is smaller than the sum of its proper divisors (568156).

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

420224 is an equidigital number, since it uses as much as digits as its factorization.

420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 420224 is about 648.2468665563. The cubic root of 420224 is about 74.9020350569.

Adding to 420224 its reverse (422024), we get a palindrome (842248).

The spelling of 420224 in words is "four hundred twenty thousand, two hundred twenty-four", and thus it is an iban number.