405408000 has 288 divisors, whose sum is σ = 1392797952. Its totient is φ = 104448000.

The previous prime is 405407983. The next prime is 405408007. The reversal of 405408000 is 804504.

It is not an unprimeable number, because it can be changed into a prime (405408007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3935949 + ... + 3936051.

It is an arithmetic number, because the mean of its divisors is an integer number (4836104).

Almost surely, 2^405408000 is an apocalyptic number.

405408000 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 405408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696398976).

405408000 is an abundant number, since it is smaller than the sum of its proper divisors (987389952).

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

405408000 is a wasteful number, since it uses less digits than its factorization.

405408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 405408000 is about 20134.7460872989. The cubic root of 405408000 is about 740.1119869475. Note that the first 3 decimals are identical.

The spelling of 405408000 in words is "four hundred five million, four hundred eight thousand".