415263413 has 12 divisors (see below), whose sum is σ = 436602348. Its totient is φ = 394922880.

The previous prime is 415263397. The next prime is 415263463. The reversal of 415263413 is 314362514.

It can be written as a sum of positive squares in 2 ways, for example, as 4674244 + 410589169 = 2162^2 + 20263^2 .

It is not a de Polignac number, because 415263413 - 2⁴ = 415263397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415263463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93581 + ... + 97917.

It is an arithmetic number, because the mean of its divisors is an integer number (36383529).

Almost surely, 2^415263413 is an apocalyptic number.

It is an amenable number.

415263413 is a deficient number, since it is larger than the sum of its proper divisors (21338935).

415263413 is a wasteful number, since it uses less digits than its factorization.

415263413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 4541 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 415263413 is about 20378.0129796798. The cubic root of 415263413 is about 746.0613750365.

The spelling of 415263413 in words is "four hundred fifteen million, two hundred sixty-three thousand, four hundred thirteen".