415130301 has 24 divisors (see below), whose sum is σ = 608268024. Its totient is φ = 272793600.

The previous prime is 415130279. The next prime is 415130323. The reversal of 415130301 is 103031514.

It is an interprime number because it is at equal distance from previous prime (415130279) and next prime (415130323).

It can be written as a sum of positive squares in 4 ways, for example, as 301196025 + 113934276 = 17355^2 + 10674^2 .

It is not a de Polignac number, because 415130301 - 2⁶ = 415130237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415130351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232725 + ... + 234501.

It is an arithmetic number, because the mean of its divisors is an integer number (25344501).

Almost surely, 2^415130301 is an apocalyptic number.

It is an amenable number.

415130301 is a deficient number, since it is larger than the sum of its proper divisors (193137723).

415130301 is a wasteful number, since it uses less digits than its factorization.

415130301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 415130301 is about 20374.7466487316. The cubic root of 415130301 is about 745.9816502709.

Adding to 415130301 its reverse (103031514), we get a palindrome (518161815).

The spelling of 415130301 in words is "four hundred fifteen million, one hundred thirty thousand, three hundred one".