398172160 has 56 divisors (see below), whose sum is σ = 955653156. Its totient is φ = 159252480.

The previous prime is 398172157. The next prime is 398172163. The reversal of 398172160 is 61271893.

It is an interprime number because it is at equal distance from previous prime (398172157) and next prime (398172163).

It can be written as a sum of positive squares in 2 ways, for example, as 342102016 + 56070144 = 18496^2 + 7488^2 .

It is not an unprimeable number, because it can be changed into a prime (398172163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36100 + ... + 45820.

Almost surely, 2^398172160 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 398172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477826578).

398172160 is an abundant number, since it is smaller than the sum of its proper divisors (557480996).

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

398172160 is an frugal number, since it uses more digits than its factorization.

398172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9752 (or 9728 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 398172160 is about 19954.2516772742. The cubic root of 398172160 is about 735.6822825268.

The spelling of 398172160 in words is "three hundred ninety-eight million, one hundred seventy-two thousand, one hundred sixty".