398728200 has 384 divisors, whose sum is σ = 1469905920. Its totient is φ = 88473600.

The previous prime is 398728199. The next prime is 398728201. The reversal of 398728200 is 2827893.

It is an interprime number because it is at equal distance from previous prime (398728199) and next prime (398728201).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (398728201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4110552 + ... + 4110648.

It is an arithmetic number, because the mean of its divisors is an integer number (3827880).

Almost surely, 2^398728200 is an apocalyptic number.

398728200 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 398728200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734952960).

398728200 is an abundant number, since it is smaller than the sum of its proper divisors (1071177720).

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

398728200 is a wasteful number, since it uses less digits than its factorization.

398728200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 398728200 is about 19968.1796866915. The cubic root of 398728200 is about 736.0245787712.

The spelling of 398728200 in words is "three hundred ninety-eight million, seven hundred twenty-eight thousand, two hundred".