413991 has 20 divisors (see below), whose sum is σ = 653400. Its totient is φ = 260496.

The previous prime is 413981. The next prime is 414013. The reversal of 413991 is 199314.

It is not a de Polignac number, because 413991 - 2⁷ = 413863 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413911) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1405 + ... + 1673.

It is an arithmetic number, because the mean of its divisors is an integer number (32670).

2⁴¹³⁹⁹¹ is an apocalyptic number.

413991 is a deficient number, since it is larger than the sum of its proper divisors (239409).

413991 is a wasteful number, since it uses less digits than its factorization.

413991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 413991 is about 643.4213238617. The cubic root of 413991 is about 74.5298590579.

The spelling of 413991 in words is "four hundred thirteen thousand, nine hundred ninety-one".