415413 has 12 divisors (see below), whose sum is σ = 607308. Its totient is φ = 273600.

The previous prime is 415409. The next prime is 415427. The reversal of 415413 is 314514.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 381924 + 33489 = 618^2 + 183^2 .

It is not a de Polignac number, because 415413 - 2² = 415409 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (50609).

2⁴¹⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

415413 is a deficient number, since it is larger than the sum of its proper divisors (191895).

415413 is a wasteful number, since it uses less digits than its factorization.

415413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 561 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 415413 is about 644.5254067917. The cubic root of 415413 is about 74.6150946845.

Adding to 415413 its reverse (314514), we get a palindrome (729927).

It can be divided in two parts, 415 and 413, that added together give a palindrome (828).

The spelling of 415413 in words is "four hundred fifteen thousand, four hundred thirteen".