408144 has 40 divisors (see below), whose sum is σ = 1151712. Its totient is φ = 123520.

The previous prime is 408137. The next prime is 408169. The reversal of 408144 is 441804.

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 408144.

It is a congruent number.

It is an unprimeable number.

408144 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 7 ways as a sum of consecutive naturals, for example, 142 + ... + 914.

2⁴⁰⁸¹⁴⁴ is an apocalyptic number.

408144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575856).

408144 is an abundant number, since it is smaller than the sum of its proper divisors (743568).

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

408144 is a wasteful number, since it uses less digits than its factorization.

408144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 408144 is about 638.8614873351. The cubic root of 408144 is about 74.1773200761.

Adding to 408144 its reverse (441804), we get a palindrome (849948).

The spelling of 408144 in words is "four hundred eight thousand, one hundred forty-four".