216386400 has 144 divisors (see below), whose sum is σ = 728859600. Its totient is φ = 55695360.

The previous prime is 216386399. The next prime is 216386407. The reversal of 216386400 is 4683612.

216386400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216386407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68046 + ... + 71154.

It is an arithmetic number, because the mean of its divisors is an integer number (5061525).

Almost surely, 2^216386400 is an apocalyptic number.

216386400 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 216386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364429800).

216386400 is an abundant number, since it is smaller than the sum of its proper divisors (512473200).

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

216386400 is a wasteful number, since it uses less digits than its factorization.

216386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 216386400 is about 14710.0781779024. The cubic root of 216386400 is about 600.3575646480.

The spelling of 216386400 in words is "two hundred sixteen million, three hundred eighty-six thousand, four hundred".