405224000000 has 280 divisors, whose sum is σ = 1040169888780. Its totient is φ = 157708800000.

The previous prime is 405223999919. The next prime is 405224000017. The reversal of 405224000000 is 422504.

The cubic root of 405224000000 is 7400.

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

It can be written as a sum of positive squares in 14 ways, for example, as 256943554816 + 148280445184 = 506896^2 + 385072^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10951999982 + ... + 10952000018.

Almost surely, 2^405224000000 is an apocalyptic number.

405224000000 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 405224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520084944390).

405224000000 is an abundant number, since it is smaller than the sum of its proper divisors (634945888780).

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

405224000000 is an frugal number, since it uses more digits than its factorization.

405224000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 44 counting only the distinct ones).

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

Adding to 405224000000 its reverse (422504), we get a palindrome (405224422504).

The spelling of 405224000000 in words is "four hundred five billion, two hundred twenty-four million", and thus it is an aban number.