200126400 has 168 divisors, whose sum is σ = 663116784. Its totient is φ = 52838400.

The previous prime is 200126393. The next prime is 200126413. The reversal of 200126400 is 4621002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200126400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830280 + ... + 830520.

Almost surely, 2^200126400 is an apocalyptic number.

200126400 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 200126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331558392).

200126400 is an abundant number, since it is smaller than the sum of its proper divisors (462990384).

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

200126400 is a wasteful number, since it uses less digits than its factorization.

200126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 200126400 is about 14146.6038327225. The cubic root of 200126400 is about 584.9267203119.

Adding to 200126400 its reverse (4621002), we get a palindrome (204747402).

The spelling of 200126400 in words is "two hundred million, one hundred twenty-six thousand, four hundred".