4531520 has 126 divisors (see below), whose sum is σ = 13334238. Its totient is φ = 1462272.

The previous prime is 4531517. The next prime is 4531543. The reversal of 4531520 is 251354.

It can be written as a sum of positive squares in 3 ways, for example, as 1517824 + 3013696 = 1232^2 + 1736^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4531492 and 4531501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 266552 + ... + 266568.

Almost surely, 2^4531520 is an apocalyptic number.

4531520 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 4531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667119).

4531520 is an abundant number, since it is smaller than the sum of its proper divisors (8802718).

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

4531520 is a wasteful number, since it uses less digits than its factorization.

4531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 4531520 is about 2128.7367145798. The cubic root of 4531520 is about 165.4809353638.

Multiplying 4531520 by its sum of digits (20), we get a square (90630400 = 9520²).

4531520 divided by its sum of digits (20) gives a square (226576 = 476²).

Adding to 4531520 its reverse (251354), we get a palindrome (4782874).

The spelling of 4531520 in words is "four million, five hundred thirty-one thousand, five hundred twenty".