216448200 has 240 divisors, whose sum is σ = 777807360. Its totient is φ = 55728000.

The previous prime is 216448163. The next prime is 216448213. The reversal of 216448200 is 2844612.

216448200 is a `hidden beast` number, since 2 + 16 + 448 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 501985 + ... + 502415.

It is an arithmetic number, because the mean of its divisors is an integer number (3240864).

Almost surely, 2^216448200 is an apocalyptic number.

216448200 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 216448200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388903680).

216448200 is an abundant number, since it is smaller than the sum of its proper divisors (561359160).

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

216448200 is a wasteful number, since it uses less digits than its factorization.

216448200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 216448200 is about 14712.1786286056. The cubic root of 216448200 is about 600.4147132888.

The spelling of 216448200 in words is "two hundred sixteen million, four hundred forty-eight thousand, two hundred".