413961 has 8 divisors (see below), whose sum is σ = 564960. Its totient is φ = 269472.

The previous prime is 413951. The next prime is 413981. The reversal of 413961 is 169314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 413961 - 2¹⁷ = 282889 is a prime.

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

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 7 ways as a sum of consecutive naturals, for example, 1476 + ... + 1733.

It is an arithmetic number, because the mean of its divisors is an integer number (70620).

2⁴¹³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

413961 is a deficient number, since it is larger than the sum of its proper divisors (150999).

413961 is a wasteful number, since it uses less digits than its factorization.

413961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255.

The product of its digits is 648, while the sum is 24.

The square root of 413961 is about 643.3980105658. The cubic root of 413961 is about 74.5280587372.

The spelling of 413961 in words is "four hundred thirteen thousand, nine hundred sixty-one".