4130320 has 40 divisors (see below), whose sum is σ = 10171224. Its totient is φ = 1554432.

The previous prime is 4130309. The next prime is 4130323. The reversal of 4130320 is 230314.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 2572816 = 1248^2 + 1604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 4130320.

It is not an unprimeable number, because it can be changed into a prime (4130323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159 + ... + 2878.

Almost surely, 2^4130320 is an apocalyptic number.

4130320 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 4130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085612).

4130320 is an abundant number, since it is smaller than the sum of its proper divisors (6040904).

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

4130320 is a wasteful number, since it uses less digits than its factorization.

4130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 4130320 is about 2032.3188726182. The cubic root of 4130320 is about 160.4456326697.

Adding to 4130320 its reverse (230314), we get a palindrome (4360634).

The spelling of 4130320 in words is "four million, one hundred thirty thousand, three hundred twenty".