213985200 has 480 divisors, whose sum is σ = 852445440. Its totient is φ = 45158400.

The previous prime is 213985159. The next prime is 213985207. The reversal of 213985200 is 2589312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213985207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4976379 + ... + 4976421.

It is an arithmetic number, because the mean of its divisors is an integer number (1775928).

Almost surely, 2^213985200 is an apocalyptic number.

213985200 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 213985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426222720).

213985200 is an abundant number, since it is smaller than the sum of its proper divisors (638460240).

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

213985200 is a wasteful number, since it uses less digits than its factorization.

213985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 213985200 is about 14628.2329759954. The cubic root of 213985200 is about 598.1286137016.

It can be divided in two parts, 213985 and 200, that added together give a triangular number (214185 = T₆₅₄).

The spelling of 213985200 in words is "two hundred thirteen million, nine hundred eighty-five thousand, two hundred".