398379168 has 192 divisors, whose sum is σ = 1280240640. Its totient is φ = 119520000.

The previous prime is 398379131. The next prime is 398379169. The reversal of 398379168 is 861973893.

It is a super-2 number, since 2×398379168² = 317411922992744448, which contains 22 as substring.

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

Its product of digits (1959552) is a multiple of the sum of its prime factors (448).

It is not an unprimeable number, because it can be changed into a prime (398379169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1587043 + ... + 1587293.

It is an arithmetic number, because the mean of its divisors is an integer number (6667920).

Almost surely, 2^398379168 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 398379168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640120320).

398379168 is an abundant number, since it is smaller than the sum of its proper divisors (881861472).

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

398379168 is a wasteful number, since it uses less digits than its factorization.

398379168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 434 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 398379168 is about 19959.4380682423. The cubic root of 398379168 is about 735.8097531277.

The spelling of 398379168 in words is "three hundred ninety-eight million, three hundred seventy-nine thousand, one hundred sixty-eight".