413988 has 12 divisors (see below), whose sum is σ = 966000. Its totient is φ = 137992.

The previous prime is 413981. The next prime is 414013. The reversal of 413988 is 889314.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (413981) by changing a digit.

413988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17238 + ... + 17261.

It is an arithmetic number, because the mean of its divisors is an integer number (80500).

2⁴¹³⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

413988 is an abundant number, since it is smaller than the sum of its proper divisors (552012).

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

413988 is a wasteful number, since it uses less digits than its factorization.

413988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34506 (or 34504 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 413988 is about 643.4189925702. The cubic root of 413988 is about 74.5296790298.

The spelling of 413988 in words is "four hundred thirteen thousand, nine hundred eighty-eight".