210225400 has 288 divisors, whose sum is σ = 659020320. Its totient is φ = 60825600.

The previous prime is 210225377. The next prime is 210225403. The reversal of 210225400 is 4522012.

210225400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210225403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2879764 + ... + 2879836.

It is an arithmetic number, because the mean of its divisors is an integer number (2288265).

Almost surely, 2^210225400 is an apocalyptic number.

210225400 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 210225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329510160).

210225400 is an abundant number, since it is smaller than the sum of its proper divisors (448794920).

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

210225400 is a wasteful number, since it uses less digits than its factorization.

210225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 210225400 is about 14499.1516993237. The cubic root of 210225400 is about 594.6047795553.

Adding to 210225400 its reverse (4522012), we get a palindrome (214747412).

The spelling of 210225400 in words is "two hundred ten million, two hundred twenty-five thousand, four hundred".