408768 has 28 divisors (see below), whose sum is σ = 1082040. Its totient is φ = 136192.

The previous prime is 408763. The next prime is 408769. The reversal of 408768 is 867804.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (408763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 873 + ... + 1256.

2⁴⁰⁸⁷⁶⁸ is an apocalyptic number.

408768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

408768 is an abundant number, since it is smaller than the sum of its proper divisors (673272).

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

408768 is a wasteful number, since it uses less digits than its factorization.

408768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 408768 is about 639.3496695862. The cubic root of 408768 is about 74.2151033739.

It can be divided in two parts, 408 and 768, that added together give a triangular number (1176 = T₄₈).

The spelling of 408768 in words is "four hundred eight thousand, seven hundred sixty-eight".