It is a tau number, because it is divible by the number of its divisors (64).
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
2405888 is an apocalyptic number.
405888 is a gapful number since it is divisible by the number (48) 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 405888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
405888 is a wasteful number, since it uses less digits than its factorization.
405888 is an evil number, because the sum of its binary digits is even.
The square root of 405888 is about 637.0933997461. The cubic root of 405888 is about 74.0403967405.
The spelling of 405888 in words is "four hundred five thousand, eight hundred eighty-eight".