216451200 has 192 divisors, whose sum is σ = 815037120. Its totient is φ = 49459200.

The previous prime is 216451187. The next prime is 216451243. The reversal of 216451200 is 2154612.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×216451200² = 93702243962880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65590 + ... + 68810.

It is an arithmetic number, because the mean of its divisors is an integer number (4244985).

Almost surely, 2^216451200 is an apocalyptic number.

216451200 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 216451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407518560).

216451200 is an abundant number, since it is smaller than the sum of its proper divisors (598585920).

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

216451200 is a wasteful number, since it uses less digits than its factorization.

216451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 216451200 is about 14712.2805846001. The cubic root of 216451200 is about 600.4174872178.

The spelling of 216451200 in words is "two hundred sixteen million, four hundred fifty-one thousand, two hundred".