405888000 has 352 divisors, whose sum is σ = 1553230848. Its totient is φ = 92160000.

The previous prime is 405887981. The next prime is 405888001. The reversal of 405888000 is 888504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405888001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687925 + ... + 2688075.

Almost surely, 2^405888000 is an apocalyptic number.

405888000 is a gapful number since it is divisible by the number (40) 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 405888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776615424).

405888000 is an abundant number, since it is smaller than the sum of its proper divisors (1147342848).

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

405888000 is a wasteful number, since it uses less digits than its factorization.

405888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

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

The square root of 405888000 is about 20146.6622545771. The cubic root of 405888000 is about 740.4039674051.

The spelling of 405888000 in words is "four hundred five million, eight hundred eighty-eight thousand".