408228408200 has 36 divisors (see below), whose sum is σ = 949152057765. Its totient is φ = 163287748960.

The previous prime is 408228408187. The next prime is 408228408223. The reversal of 408228408200 is 2804822804.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 400063840036 + 8164568164 = 632506^2 + 90358^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=451790.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9013211 + ... + 9058389.

Almost surely, 2^408228408200 is an apocalyptic number.

408228408200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408228408200 is an abundant number, since it is smaller than the sum of its proper divisors (540923649565).

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

408228408200 is an frugal number, since it uses more digits than its factorization.

408228408200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90374 (or 45186 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The spelling of 408228408200 in words is "four hundred eight billion, two hundred twenty-eight million, four hundred eight thousand, two hundred".