210045200 has 180 divisors, whose sum is σ = 566451840. Its totient is φ = 74680320.

The previous prime is 210045179. The next prime is 210045203. The reversal of 210045200 is 2540012.

It is not an unprimeable number, because it can be changed into a prime (210045203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2658761 + ... + 2658839.

Almost surely, 2^210045200 is an apocalyptic number.

210045200 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 210045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283225920).

210045200 is an abundant number, since it is smaller than the sum of its proper divisors (356406640).

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

210045200 is a wasteful number, since it uses less digits than its factorization.

210045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 210045200 is about 14492.9362104440. The cubic root of 210045200 is about 594.4348374984.

Adding to 210045200 its reverse (2540012), we get a palindrome (212585212).

The spelling of 210045200 in words is "two hundred ten million, forty-five thousand, two hundred".