408963 has 8 divisors (see below), whose sum is σ = 569088. Its totient is φ = 260744.

The previous prime is 408959. The next prime is 408971. The reversal of 408963 is 369804.

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 408963 - 2² = 408959 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 408963.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2895 + ... + 3032.

It is an arithmetic number, because the mean of its divisors is an integer number (71136).

2⁴⁰⁸⁹⁶³ is an apocalyptic number.

408963 is a deficient number, since it is larger than the sum of its proper divisors (160125).

408963 is a wasteful number, since it uses less digits than its factorization.

408963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 408963 is about 639.5021501137. The cubic root of 408963 is about 74.2269027683.

The spelling of 408963 in words is "four hundred eight thousand, nine hundred sixty-three".