408888 has 40 divisors (see below), whose sum is σ = 1147080. Its totient is φ = 136080.

The previous prime is 408869. The next prime is 408911. The reversal of 408888 is 888804.

It is a Harshad number since it is a multiple of its sum of digits (36).

408888 is a modest number, since divided by 888 gives 408 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 333 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (28677).

2⁴⁰⁸⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573540).

408888 is an abundant number, since it is smaller than the sum of its proper divisors (738192).

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

408888 is a wasteful number, since it uses less digits than its factorization.

408888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 408888 is about 639.4435080599. The cubic root of 408888 is about 74.2223649837. Note that the first 3 decimals are identical.

It can be divided in two parts, 408 and 888, that added together give a 4-th power (1296 = 6⁴).

The spelling of 408888 in words is "four hundred eight thousand, eight hundred eighty-eight".