408964 has 6 divisors (see below), whose sum is σ = 715694. Its totient is φ = 204480.

The previous prime is 408959. The next prime is 408971. The reversal of 408964 is 469804.

It can be written as a sum of positive squares in only one way, i.e., 372100 + 36864 = 610^2 + 192^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51117 + ... + 51124.

2⁴⁰⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

408964 is a deficient number, since it is larger than the sum of its proper divisors (306730).

408964 is a wasteful number, since it uses less digits than its factorization.

408964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102245 (or 102243 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 408964 is about 639.5029319714. The cubic root of 408964 is about 74.2269632683.

The spelling of 408964 in words is "four hundred eight thousand, nine hundred sixty-four".