200394000 has 200 divisors, whose sum is σ = 724423128. Its totient is φ = 53395200.

The previous prime is 200393983. The next prime is 200394001. The reversal of 200394000 is 493002.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 199148544 = 1116^2 + 14112^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200394001) 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 39 ways as a sum of consecutive naturals, for example, 161382 + ... + 162618.

Almost surely, 2^200394000 is an apocalyptic number.

200394000 is a gapful number since it is divisible by the number (20) 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 200394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362211564).

200394000 is an abundant number, since it is smaller than the sum of its proper divisors (524029128).

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

200394000 is a wasteful number, since it uses less digits than its factorization.

200394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 200394000 is about 14156.0587735429. The cubic root of 200394000 is about 585.1873167407.

The spelling of 200394000 in words is "two hundred million, three hundred ninety-four thousand".