200102400 has 300 divisors, whose sum is σ = 744430962. Its totient is φ = 53084160.

The previous prime is 200102377. The next prime is 200102431. The reversal of 200102400 is 4201002.

200102400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 122943744 + 77158656 = 11088^2 + 8784^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1036704 + ... + 1036896.

Almost surely, 2^200102400 is an apocalyptic number.

200102400 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 200102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372215481).

200102400 is an abundant number, since it is smaller than the sum of its proper divisors (544328562).

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

200102400 is an equidigital number, since it uses as much as digits as its factorization.

200102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 200102400 is about 14145.7555471597. The cubic root of 200102400 is about 584.9033370859.

Adding to 200102400 its reverse (4201002), we get a palindrome (204303402).

The spelling of 200102400 in words is "two hundred million, one hundred two thousand, four hundred".