216414400 has 84 divisors (see below), whose sum is σ = 545668200. Its totient is φ = 84428800.

The previous prime is 216414347. The next prime is 216414409. The reversal of 216414400 is 4414612.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (216414409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63951 + ... + 67249.

It is an arithmetic number, because the mean of its divisors is an integer number (6496050).

Almost surely, 2^216414400 is an apocalyptic number.

216414400 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 216414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272834100).

216414400 is an abundant number, since it is smaller than the sum of its proper divisors (329253800).

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

216414400 is a wasteful number, since it uses less digits than its factorization.

216414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 216414400 is about 14711.0298755730. The cubic root of 216414400 is about 600.3834585840.

The spelling of 216414400 in words is "two hundred sixteen million, four hundred fourteen thousand, four hundred".