398843473824 has 288 divisors, whose sum is σ = 1188481170240. Its totient is φ = 131569920000.

The previous prime is 398843473817. The next prime is 398843473829. The reversal of 398843473824 is 428374348893.

398843473824 is a `hidden beast` number, since 3 + 9 + 8 + 84 + 3 + 473 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×398843473824² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (398843473829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353270892 + ... + 353272020.

It is an arithmetic number, because the mean of its divisors is an integer number (4126670730).

Almost surely, 2^398843473824 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 398843473824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594240585120).

398843473824 is an abundant number, since it is smaller than the sum of its proper divisors (789637696416).

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

398843473824 is a wasteful number, since it uses less digits than its factorization.

398843473824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1566 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 398843473824 in words is "three hundred ninety-eight billion, eight hundred forty-three million, four hundred seventy-three thousand, eight hundred twenty-four".