398163200 has 54 divisors (see below), whose sum is σ = 985531974. Its totient is φ = 159262720.

The previous prime is 398163191. The next prime is 398163209. The reversal of 398163200 is 2361893.

It is an interprime number because it is at equal distance from previous prime (398163191) and next prime (398163209).

It can be written as a sum of positive squares in 3 ways, for example, as 719104 + 397444096 = 848^2 + 19936^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398163209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24707 + ... + 37506.

Almost surely, 2^398163200 is an apocalyptic number.

It is an amenable number.

398163200 is an abundant number, since it is smaller than the sum of its proper divisors (587368774).

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

398163200 is an equidigital number, since it uses as much as digits as its factorization.

398163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62239 (or 62220 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 398163200 is about 19954.0271624552. The cubic root of 398163200 is about 735.6767641745.

The spelling of 398163200 in words is "three hundred ninety-eight million, one hundred sixty-three thousand, two hundred".