214495200 has 216 divisors, whose sum is σ = 781574976. Its totient is φ = 55353600.

The previous prime is 214495181. The next prime is 214495201. The reversal of 214495200 is 2594412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214495201) 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, 6919185 + ... + 6919215.

Almost surely, 2^214495200 is an apocalyptic number.

214495200 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 214495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390787488).

214495200 is an abundant number, since it is smaller than the sum of its proper divisors (567079776).

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

214495200 is an equidigital number, since it uses as much as digits as its factorization.

214495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 214495200 is about 14645.6546456620. The cubic root of 214495200 is about 598.6034184555.

It can be divided in two parts, 2144 and 95200, that added together give a square (97344 = 312²).

The spelling of 214495200 in words is "two hundred fourteen million, four hundred ninety-five thousand, two hundred".