408961 has 8 divisors (see below), whose sum is σ = 480320. Its totient is φ = 340848.

The previous prime is 408959. The next prime is 408971. The reversal of 408961 is 169804.

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

It is a cyclic number.

It is not a de Polignac number, because 408961 - 2¹ = 408959 is a prime.

It is the 640-th Hogben number.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408911) by changing a digit.

It is a nontrivial repunit in base 639.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531 + ... + 1048.

It is an arithmetic number, because the mean of its divisors is an integer number (60040).

2⁴⁰⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

408961 is a deficient number, since it is larger than the sum of its proper divisors (71359).

408961 is a wasteful number, since it uses less digits than its factorization.

408961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 408961 is about 639.5005863954. The cubic root of 408961 is about 74.2267817679.

It can be divided in two parts, 408 and 961, that added together give a square (1369 = 37²).

The spelling of 408961 in words is "four hundred eight thousand, nine hundred sixty-one".