413588 has 12 divisors (see below), whose sum is σ = 827232. Its totient is φ = 177240.

The previous prime is 413587. The next prime is 413597. The reversal of 413588 is 885314.

413588 is nontrivially palindromic in base 15.

413588 is an admirable number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

413588 is an undulating number in base 15.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 413588.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413588.

It is not an unprimeable number, because it can be changed into a prime (413587) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7358 + ... + 7413.

It is an arithmetic number, because the mean of its divisors is an integer number (68936).

2⁴¹³⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

413588 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

413588 is a wasteful number, since it uses less digits than its factorization.

413588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14782 (or 14780 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 413588 is about 643.1080780087. The cubic root of 413588 is about 74.5056674817.

It can be divided in two parts, 413 and 588, that added together give a palindrome (1001).

The spelling of 413588 in words is "four hundred thirteen thousand, five hundred eighty-eight".