216405360 has 180 divisors, whose sum is σ = 747655272. Its totient is φ = 56090112.

The previous prime is 216405349. The next prime is 216405379. The reversal of 216405360 is 63504612.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2022427 + ... + 2022533.

Almost surely, 2^216405360 is an apocalyptic number.

216405360 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 216405360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373827636).

216405360 is an abundant number, since it is smaller than the sum of its proper divisors (531249912).

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

216405360 is a wasteful number, since it uses less digits than its factorization.

216405360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 216405360 is about 14710.7226199123. The cubic root of 216405360 is about 600.3750987860.

Adding to 216405360 its reverse (63504612), we get a palindrome (279909972).

It can be divided in two parts, 21640 and 5360, that added together give a cube (27000 = 30³).

The spelling of 216405360 in words is "two hundred sixteen million, four hundred five thousand, three hundred sixty".