413385 has 32 divisors (see below), whose sum is σ = 786432. Its totient is φ = 181440.

The previous prime is 413353. The next prime is 413411. The reversal of 413385 is 583314.

It is not a de Polignac number, because 413385 - 2⁵ = 413353 is a prime.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3192 + ... + 3318.

It is an arithmetic number, because the mean of its divisors is an integer number (24576).

2⁴¹³³⁸⁵ is an apocalyptic number.

It is an amenable number.

413385 is a deficient number, since it is larger than the sum of its proper divisors (373047).

413385 is a wasteful number, since it uses less digits than its factorization.

413385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173.

The product of its digits is 1440, while the sum is 24.

The square root of 413385 is about 642.9502313554. The cubic root of 413385 is about 74.4934756985.

Adding to 413385 its reverse (583314), we get a palindrome (996699).

The spelling of 413385 in words is "four hundred thirteen thousand, three hundred eighty-five".