200568400 has 60 divisors (see below), whose sum is σ = 483479100. Its totient is φ = 79959040.

The previous prime is 200568391. The next prime is 200568409. The reversal of 200568400 is 4865002.

It is an interprime number because it is at equal distance from previous prime (200568391) and next prime (200568409).

It can be written as a sum of positive squares in 6 ways, for example, as 2547216 + 198021184 = 1596^2 + 14072^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200568409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154956 + ... + 156244.

It is an arithmetic number, because the mean of its divisors is an integer number (8057985).

Almost surely, 2^200568400 is an apocalyptic number.

200568400 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 200568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241739550).

200568400 is an abundant number, since it is smaller than the sum of its proper divisors (282910700).

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

200568400 is a wasteful number, since it uses less digits than its factorization.

200568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 200568400 is about 14162.2173405156. The cubic root of 200568400 is about 585.3570275374.

The spelling of 200568400 in words is "two hundred million, five hundred sixty-eight thousand, four hundred".