398216200 has 48 divisors (see below), whose sum is σ = 950893380. Its totient is φ = 154978560.

The previous prime is 398216183. The next prime is 398216201. The reversal of 398216200 is 2612893.

It can be written as a sum of positive squares in 6 ways, for example, as 245298244 + 152917956 = 15662^2 + 12366^2 .

It is a super-2 number, since 2×398216200² = 317152283884880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (398216201) 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 11 ways as a sum of consecutive naturals, for example, 19507 + ... + 34306.

Almost surely, 2^398216200 is an apocalyptic number.

It is an amenable number.

398216200 is an abundant number, since it is smaller than the sum of its proper divisors (552677180).

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

398216200 is a wasteful number, since it uses less digits than its factorization.

398216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53866 (or 53857 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 398216200 is about 19955.3551709810. The cubic root of 398216200 is about 735.7094050101.

The spelling of 398216200 in words is "three hundred ninety-eight million, two hundred sixteen thousand, two hundred".