398241389952 has 192 divisors, whose sum is σ = 1320008601600. Its totient is φ = 112887032832.

The previous prime is 398241389941. The next prime is 398241389957. The reversal of 398241389952 is 259983142893.

398241389952 is a `hidden beast` number, since 3 + 9 + 8 + 241 + 389 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 398241389952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398241389957) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 829699 + ... + 1218557.

It is an arithmetic number, because the mean of its divisors is an integer number (6875044800).

Almost surely, 2^398241389952 is an apocalyptic number.

398241389952 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 398241389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660004300800).

398241389952 is an abundant number, since it is smaller than the sum of its proper divisors (921767211648).

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

398241389952 is a wasteful number, since it uses less digits than its factorization.

398241389952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389013 (or 388998 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 398241389952 in words is "three hundred ninety-eight billion, two hundred forty-one million, three hundred eighty-nine thousand, nine hundred fifty-two".