408168 has 24 divisors (see below), whose sum is σ = 1105650. Its totient is φ = 136032.

The previous prime is 408137. The next prime is 408169. The reversal of 408168 is 861804.

It can be written as a sum of positive squares in only one way, i.e., 381924 + 26244 = 618^2 + 162^2 .

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

It is a super-2 number, since 2×408168² = 333202232448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (408169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2763 + ... + 2906.

2⁴⁰⁸¹⁶⁸ is an apocalyptic number.

It is an amenable number.

408168 is an abundant number, since it is smaller than the sum of its proper divisors (697482).

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

408168 is a wasteful number, since it uses less digits than its factorization.

408168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5681 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 408168 is about 638.8802704733. The cubic root of 408168 is about 74.1787739917.

It can be divided in two parts, 408 and 168, that added together give a square (576 = 24²).

The spelling of 408168 in words is "four hundred eight thousand, one hundred sixty-eight".