4461120 has 84 divisors (see below), whose sum is σ = 15354300. Its totient is φ = 1188864.

The previous prime is 4461109. The next prime is 4461161. The reversal of 4461120 is 211644.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 2903616 = 1248^2 + 1704^2 .

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4461093 and 4461102.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2106 + ... + 3654.

Almost surely, 2^4461120 is an apocalyptic number.

4461120 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 4461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7677150).

4461120 is an abundant number, since it is smaller than the sum of its proper divisors (10893180).

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

4461120 is a wasteful number, since it uses less digits than its factorization.

4461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4461120 is about 2112.1363592344. The cubic root of 4461120 is about 164.6195089345.

Adding to 4461120 its reverse (211644), we get a palindrome (4672764).

The spelling of 4461120 in words is "four million, four hundred sixty-one thousand, one hundred twenty".