4401 has 8 divisors (see below), whose sum is σ = 6560. Its totient is φ = 2916.

The previous prime is 4397. The next prime is 4409. The reversal of 4401 is 1044.

It is not a de Polignac number, because 4401 - 2² = 4397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 7 and base 12.

It is not an unprimeable number, because it can be changed into a prime (4409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 108.

It is an arithmetic number, because the mean of its divisors is an integer number (820).

2⁴⁴⁰¹ is an apocalyptic number.

It is an amenable number.

4401 is a deficient number, since it is larger than the sum of its proper divisors (2159).

4401 is a wasteful number, since it uses less digits than its factorization.

4401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4401 is about 66.3400331625. The cubic root of 4401 is about 16.3876667138.

Adding to 4401 its reverse (1044), we get a palindrome (5445).

It can be divided in two parts, 440 and 1, that added together give a square (441 = 21²).

The spelling of 4401 in words is "four thousand, four hundred one", and thus it is an iban number.