4503120 has 80 divisors (see below), whose sum is σ = 14463360. Its totient is φ = 1157632.

The previous prime is 4503119. The next prime is 4503127. The reversal of 4503120 is 213054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4503120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4503127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6637 + ... + 7283.

It is an arithmetic number, because the mean of its divisors is an integer number (180792).

Almost surely, 2^4503120 is an apocalyptic number.

4503120 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 4503120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231680).

4503120 is an abundant number, since it is smaller than the sum of its proper divisors (9960240).

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

4503120 is a wasteful number, since it uses less digits than its factorization.

4503120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4503120 is about 2122.0556071885. The cubic root of 4503120 is about 165.1345092337.

Adding to 4503120 its reverse (213054), we get a palindrome (4716174).

It can be divided in two parts, 450 and 3120, that added together give a triangular number (3570 = T₈₄).

The spelling of 4503120 in words is "four million, five hundred three thousand, one hundred twenty".