420224224 has 96 divisors (see below), whose sum is σ = 1007790336. Its totient is φ = 168376320.

The previous prime is 420224213. The next prime is 420224243. The reversal of 420224224 is 422422024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 420224195 and 420224204.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 803227 + ... + 803749.

It is an arithmetic number, because the mean of its divisors is an integer number (10497816).

Almost surely, 2^420224224 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 420224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503895168).

420224224 is an abundant number, since it is smaller than the sum of its proper divisors (587566112).

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

420224224 is a wasteful number, since it uses less digits than its factorization.

420224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 420224224 is about 20499.3713074328. The cubic root of 420224224 is about 749.0204836576.

Adding to 420224224 its reverse (422422024), we get a palindrome (842646248).

The spelling of 420224224 in words is "four hundred twenty million, two hundred twenty-four thousand, two hundred twenty-four".