398438825472 has 160 divisors (see below), whose sum is σ = 1179932292000. Its totient is φ = 132753752064.

The previous prime is 398438825419. The next prime is 398438825497. The reversal of 398438825472 is 274528834893.

398438825472 is a `hidden beast` number, since 3 + 9 + 8 + 4 + 3 + 8 + 82 + 547 + 2 = 666.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 40043154 + ... + 40053102.

It is an arithmetic number, because the mean of its divisors is an integer number (7374576825).

Almost surely, 2^398438825472 is an apocalyptic number.

398438825472 is a gapful number since it is divisible by the number (32) 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 398438825472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589966146000).

398438825472 is an abundant number, since it is smaller than the sum of its proper divisors (781493466528).

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

398438825472 is an equidigital number, since it uses as much as digits as its factorization.

398438825472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12873 (or 12851 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 398438825472 in words is "three hundred ninety-eight billion, four hundred thirty-eight million, eight hundred twenty-five thousand, four hundred seventy-two".