413358 has 16 divisors (see below), whose sum is σ = 902016. Its totient is φ = 125240.

The previous prime is 413353. The next prime is 413411. The reversal of 413358 is 853314.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413353) 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 7 ways as a sum of consecutive naturals, for example, 3066 + ... + 3197.

It is an arithmetic number, because the mean of its divisors is an integer number (56376).

2⁴¹³³⁵⁸ is an apocalyptic number.

413358 is an abundant number, since it is smaller than the sum of its proper divisors (488658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413358 is a wasteful number, since it uses less digits than its factorization.

413358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279.

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

The square root of 413358 is about 642.9292340530. The cubic root of 413358 is about 74.4918538306.

The spelling of 413358 in words is "four hundred thirteen thousand, three hundred fifty-eight".