4220320 has 48 divisors (see below), whose sum is σ = 10742760. Its totient is φ = 1557504.

The previous prime is 4220297. The next prime is 4220323. The reversal of 4220320 is 230224.

It can be written as a sum of positive squares in 4 ways, for example, as 3825936 + 394384 = 1956^2 + 628^2 .

It is a super-2 number, since 2×4220320² = 35622201804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 4220320.

It is not an unprimeable number, because it can be changed into a prime (4220323) 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 7 ways as a sum of consecutive naturals, for example, 1066 + ... + 3094.

Almost surely, 2^4220320 is an apocalyptic number.

4220320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371380).

4220320 is an abundant number, since it is smaller than the sum of its proper divisors (6522440).

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

4220320 is a wasteful number, since it uses less digits than its factorization.

4220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 4220320 is about 2054.3417437223. The cubic root of 4220320 is about 161.6026434884.

Subtracting from 4220320 its product of nonzero digits (96), we obtain a palindrome (4220224).

Adding to 4220320 its reverse (230224), we get a palindrome (4450544).

The spelling of 4220320 in words is "four million, two hundred twenty thousand, three hundred twenty".