4541520 has 80 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 1193472.

The previous prime is 4541519. The next prime is 4541521. The reversal of 4541520 is 251454.

It is an interprime number because it is at equal distance from previous prime (4541519) and next prime (4541521).

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

It is a super-4 number, since 4×4541520⁴ (a number of 28 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4541521) 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, 30406 + ... + 30554.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 2^4541520 is an apocalyptic number.

4541520 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 4541520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

4541520 is an abundant number, since it is smaller than the sum of its proper divisors (9743280).

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

4541520 is a wasteful number, since it uses less digits than its factorization.

4541520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 4541520 is about 2131.0842310899. The cubic root of 4541520 is about 165.6025717820.

Adding to 4541520 its reverse (251454), we get a palindrome (4792974).

The spelling of 4541520 in words is "four million, five hundred forty-one thousand, five hundred twenty".