408864 has 24 divisors (see below), whose sum is σ = 1073520. Its totient is φ = 136256.

The previous prime is 408857. The next prime is 408869. The reversal of 408864 is 468804.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (408869) by changing a digit.

408864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2034 + ... + 2225.

It is an arithmetic number, because the mean of its divisors is an integer number (44730).

2⁴⁰⁸⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

408864 is an abundant number, since it is smaller than the sum of its proper divisors (664656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408864 is a wasteful number, since it uses less digits than its factorization.

408864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 408864 is about 639.4247414669. The cubic root of 408864 is about 74.2209127754.

The spelling of 408864 in words is "four hundred eight thousand, eight hundred sixty-four".