397168128 has 180 divisors, whose sum is σ = 1334155680. Its totient is φ = 113412096.

The previous prime is 397168111. The next prime is 397168147. The reversal of 397168128 is 821861793.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 224913 + ... + 226671.

It is an arithmetic number, because the mean of its divisors is an integer number (7411976).

Almost surely, 2^397168128 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 397168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667077840).

397168128 is an abundant number, since it is smaller than the sum of its proper divisors (936987552).

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

397168128 is a wasteful number, since it uses less digits than its factorization.

397168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1771 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 397168128 is about 19929.0774497968. The cubic root of 397168128 is about 735.0633958923.

The spelling of 397168128 in words is "three hundred ninety-seven million, one hundred sixty-eight thousand, one hundred twenty-eight".