4420 has 24 divisors (see below), whose sum is σ = 10584. Its totient is φ = 1536.

The previous prime is 4409. The next prime is 4421. The reversal of 4420 is 244.

4420 = T₄₅ + T₄₆ + ... + T₄₈.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 4096 = 18^2 + 64^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

4420 is an undulating number in base 13.

It is a plaindrome in base 11, base 15 and base 16.

It is a nialpdrome in base 10.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4397 and 4406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252 + ... + 268.

It is an arithmetic number, because the mean of its divisors is an integer number (441).

2⁴⁴²⁰ 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 4420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292).

4420 is an abundant number, since it is smaller than the sum of its proper divisors (6164).

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

4420 is a wasteful number, since it uses less digits than its factorization.

4420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4420 is about 66.4830805544. The cubic root of 4420 is about 16.4112158060.

Adding to 4420 its reverse (244), we get a palindrome (4664).

It can be divided in two parts, 44 and 20, that added together give a 6-th power (64 = 2⁶).

The spelling of 4420 in words is "four thousand, four hundred twenty", and thus it is an iban number.