216316400 has 60 divisors (see below), whose sum is σ = 521246400. Its totient is φ = 86269440.

The previous prime is 216316391. The next prime is 216316417. The reversal of 216316400 is 4613612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191036 + ... + 192164.

It is an arithmetic number, because the mean of its divisors is an integer number (8687440).

Almost surely, 2^216316400 is an apocalyptic number.

216316400 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 216316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260623200).

216316400 is an abundant number, since it is smaller than the sum of its proper divisors (304930000).

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

216316400 is a wasteful number, since it uses less digits than its factorization.

216316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 216316400 is about 14707.6986643050. The cubic root of 216316400 is about 600.2928200338.

The spelling of 216316400 in words is "two hundred sixteen million, three hundred sixteen thousand, four hundred".