4520 has 16 divisors (see below), whose sum is σ = 10260. Its totient is φ = 1792.

The previous prime is 4519. The next prime is 4523. The reversal of 4520 is 254.

4520 = T₄₀ + T₄₁ + ... + T₄₄.

It can be written as a sum of positive squares in 2 ways, for example, as 3844 + 676 = 62^2 + 26^2 .

4520 is an undulating number in base 15.

It is not an unprimeable number, because it can be changed into a prime (4523) 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 3 ways as a sum of consecutive naturals, for example, 17 + ... + 96.

4520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4520 is an abundant number, since it is smaller than the sum of its proper divisors (5740).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130).

4520 is a wasteful number, since it uses less digits than its factorization.

4520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4520 is about 67.2309452559. The cubic root of 4520 is about 16.5340588189.

Adding to 4520 its product of nonzero digits (40), we get a triangular number (4560 = T₉₅).

Adding to 4520 its reverse (254), we get a palindrome (4774).

It can be divided in two parts, 45 and 20, that multiplied together give a square (900 = 30²).

The spelling of 4520 in words is "four thousand, five hundred twenty".