405888 has 64 divisors (see below), whose sum is σ = 1240320. Its totient is φ = 115200.

The previous prime is 405871. The next prime is 405893. The reversal of 405888 is 888504.

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.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2613 + ... + 2763.

It is an arithmetic number, because the mean of its divisors is an integer number (19380).

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).

405888 is an abundant number, since it is smaller than the sum of its proper divisors (834432).

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 sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

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".