200129280 has 288 divisors, whose sum is σ = 727991040. Its totient is φ = 46448640.

The previous prime is 200129257. The next prime is 200129311. The reversal of 200129280 is 82921002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 200129280.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948375 + ... + 948585.

Almost surely, 2^200129280 is an apocalyptic number.

200129280 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 200129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363995520).

200129280 is an abundant number, since it is smaller than the sum of its proper divisors (527861760).

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

200129280 is a wasteful number, since it uses less digits than its factorization.

200129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 200129280 is about 14146.7056235719. The cubic root of 200129280 is about 584.9295261734.

It can be divided in two parts, 20012 and 9280, that added together give a palindrome (29292).

The spelling of 200129280 in words is "two hundred million, one hundred twenty-nine thousand, two hundred eighty".