4501120 has 64 divisors (see below), whose sum is σ = 11609640. Its totient is φ = 1658880.

The previous prime is 4501109. The next prime is 4501153. The reversal of 4501120 is 211054.

4501120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 1915456 = 1608^2 + 1384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 4501120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8050 + ... + 8590.

Almost surely, 2^4501120 is an apocalyptic number.

4501120 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 4501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804820).

4501120 is an abundant number, since it is smaller than the sum of its proper divisors (7108520).

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

4501120 is a wasteful number, since it uses less digits than its factorization.

4501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 4501120 is about 2121.5843136675. The cubic root of 4501120 is about 165.1100581920.

Adding to 4501120 its reverse (211054), we get a palindrome (4712174).

The spelling of 4501120 in words is "four million, five hundred one thousand, one hundred twenty".