200284000 has 192 divisors, whose sum is σ = 588736512. Its totient is φ = 65472000.

The previous prime is 200283989. The next prime is 200284009. The reversal of 200284000 is 482002.

It is a super-2 number, since 2×200284000² = 80227361312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200284009) 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 31 ways as a sum of consecutive naturals, for example, 643845 + ... + 644155.

It is an arithmetic number, because the mean of its divisors is an integer number (3066336).

Almost surely, 2^200284000 is an apocalyptic number.

200284000 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 200284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294368256).

200284000 is an abundant number, since it is smaller than the sum of its proper divisors (388452512).

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

200284000 is a wasteful number, since it uses less digits than its factorization.

200284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 200284000 is about 14152.1729780271. The cubic root of 200284000 is about 585.0802237364.

The spelling of 200284000 in words is "two hundred million, two hundred eighty-four thousand".