405224000 has 112 divisors (see below), whose sum is σ = 1031412720. Its totient is φ = 157708800.

The previous prime is 405223993. The next prime is 405224041. The reversal of 405224000 is 422504.

The cubic root of 405224000 is 740.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 8 ways, for example, as 39037504 + 366186496 = 6248^2 + 19136^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 405224000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10951982 + ... + 10952018.

Almost surely, 2^405224000 is an apocalyptic number.

405224000 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 405224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515706360).

405224000 is an abundant number, since it is smaller than the sum of its proper divisors (626188720).

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

405224000 is an frugal number, since it uses more digits than its factorization.

405224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 405224000 is about 20130.1763529285.

Adding to 405224000 its reverse (422504), we get a palindrome (405646504).

The spelling of 405224000 in words is "four hundred five million, two hundred twenty-four thousand".