398203200 has 126 divisors (see below), whose sum is σ = 1415359374. Its totient is φ = 106183680.

The previous prime is 398203123. The next prime is 398203219. The reversal of 398203200 is 2302893.

It can be written as a sum of positive squares in 3 ways, for example, as 4260096 + 393943104 = 2064^2 + 19848^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 574 + ... + 28226.

Almost surely, 2^398203200 is an apocalyptic number.

398203200 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 398203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707679687).

398203200 is an abundant number, since it is smaller than the sum of its proper divisors (1017156174).

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

398203200 is a wasteful number, since it uses less digits than its factorization.

398203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27681 (or 27663 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 398203200 is about 19955.0294412211. The cubic root of 398203200 is about 735.7013990355.

The spelling of 398203200 in words is "three hundred ninety-eight million, two hundred three thousand, two hundred".