413415 has 12 divisors (see below), whose sum is σ = 716664. Its totient is φ = 220464.

The previous prime is 413411. The next prime is 413417. The reversal of 413415 is 514314.

It is a happy number.

It is not a de Polignac number, because 413415 - 2² = 413411 is a prime.

413415 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4549 + ... + 4638.

It is an arithmetic number, because the mean of its divisors is an integer number (59722).

2⁴¹³⁴¹⁵ is an apocalyptic number.

413415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

413415 is a deficient number, since it is larger than the sum of its proper divisors (303249).

413415 is a wasteful number, since it uses less digits than its factorization.

413415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9198 (or 9195 counting only the distinct ones).

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

The square root of 413415 is about 642.9735608872. The cubic root of 413415 is about 74.4952776912.

Adding to 413415 its reverse (514314), we get a palindrome (927729).

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

The spelling of 413415 in words is "four hundred thirteen thousand, four hundred fifteen".