408820198464 has 168 divisors, whose sum is σ = 1228867829280. Its totient is φ = 134741781504.

The previous prime is 408820198441. The next prime is 408820198471. The reversal of 408820198464 is 464891028804.

It is a happy number.

408820198464 is a `hidden beast` number, since 408 + 8 + 2 + 0 + 198 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 408820198464.

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 23 ways as a sum of consecutive naturals, for example, 1236447 + ... + 1531809.

It is an arithmetic number, because the mean of its divisors is an integer number (7314689460).

Almost surely, 2^408820198464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408820198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614433914640).

408820198464 is an abundant number, since it is smaller than the sum of its proper divisors (820047630816).

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

408820198464 is an equidigital number, since it uses as much as digits as its factorization.

408820198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295479 (or 295457 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 408820198464 in words is "four hundred eight billion, eight hundred twenty million, one hundred ninety-eight thousand, four hundred sixty-four".