216460800 has 180 divisors, whose sum is σ = 775065720. Its totient is φ = 57692160.

The previous prime is 216460789. The next prime is 216460801. The reversal of 216460800 is 8064612.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216460801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114261 + ... + 116139.

Almost surely, 2^216460800 is an apocalyptic number.

216460800 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 216460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387532860).

216460800 is an abundant number, since it is smaller than the sum of its proper divisors (558604920).

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

216460800 is a wasteful number, since it uses less digits than its factorization.

216460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 216460800 is about 14712.6068390343. The cubic root of 216460800 is about 600.4263636183.

The spelling of 216460800 in words is "two hundred sixteen million, four hundred sixty thousand, eight hundred".