4407120 has 60 divisors (see below), whose sum is σ = 14802996. Its totient is φ = 1175040.

The previous prime is 4407119. The next prime is 4407127. The reversal of 4407120 is 217044.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 992016 + 3415104 = 996^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4407093 and 4407102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4407127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2341 + ... + 3780.

Almost surely, 2^4407120 is an apocalyptic number.

4407120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4407120 is an abundant number, since it is smaller than the sum of its proper divisors (10395876).

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

4407120 is a wasteful number, since it uses less digits than its factorization.

4407120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6140 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4407120 is about 2099.3141737244. The cubic root of 4407120 is about 163.9525938729.

The spelling of 4407120 in words is "four million, four hundred seven thousand, one hundred twenty".