216403200 has 486 divisors, whose sum is σ = 885100034. Its totient is φ = 50135040.

The previous prime is 216403193. The next prime is 216403211. The reversal of 216403200 is 2304612.

It is a happy number.

216403200 is a `hidden beast` number, since 2 + 1 + 640 + 3 + 20 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 38340864 + 178062336 = 6192^2 + 13344^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12729592 + ... + 12729608.

Almost surely, 2^216403200 is an apocalyptic number.

216403200 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 216403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442550017).

216403200 is an abundant number, since it is smaller than the sum of its proper divisors (668696834).

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

216403200 is a wasteful number, since it uses less digits than its factorization.

216403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 216403200 is about 14710.6492038931. The cubic root of 216403200 is about 600.3731012776.

Adding to 216403200 its reverse (2304612), we get a palindrome (218707812).

The spelling of 216403200 in words is "two hundred sixteen million, four hundred three thousand, two hundred".