398247168 has 288 divisors, whose sum is σ = 1271531520. Its totient is φ = 109281280.

The previous prime is 398247167. The next prime is 398247203. The reversal of 398247168 is 861742893.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398247167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6749923 + ... + 6749981.

It is an arithmetic number, because the mean of its divisors is an integer number (4415040).

Almost surely, 2^398247168 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 398247168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635765760).

398247168 is an abundant number, since it is smaller than the sum of its proper divisors (873284352).

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

398247168 is a wasteful number, since it uses less digits than its factorization.

398247168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 398247168 is about 19956.1310879639. The cubic root of 398247168 is about 735.7284757714.

The spelling of 398247168 in words is "three hundred ninety-eight million, two hundred forty-seven thousand, one hundred sixty-eight".