398068200 has 288 divisors, whose sum is σ = 1415013600. Its totient is φ = 100154880.

The previous prime is 398068193. The next prime is 398068201. The reversal of 398068200 is 2860893.

398068200 is a `hidden beast` number, since 398 + 0 + 68 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (398068201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2863731 + ... + 2863869.

Almost surely, 2^398068200 is an apocalyptic number.

398068200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398068200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707506800).

398068200 is an abundant number, since it is smaller than the sum of its proper divisors (1016945400).

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

398068200 is a wasteful number, since it uses less digits than its factorization.

398068200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 398068200 is about 19951.6465485934. The cubic root of 398068200 is about 735.6182497666.

The spelling of 398068200 in words is "three hundred ninety-eight million, sixty-eight thousand, two hundred".