216546408 has 192 divisors, whose sum is σ = 691891200. Its totient is φ = 60549120.

The previous prime is 216546361. The next prime is 216546431. The reversal of 216546408 is 804645612.

216546408 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 4 + 640 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 493053 + ... + 493491.

It is an arithmetic number, because the mean of its divisors is an integer number (3603600).

Almost surely, 2^216546408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216546408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345945600).

216546408 is an abundant number, since it is smaller than the sum of its proper divisors (475344792).

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

216546408 is a wasteful number, since it uses less digits than its factorization.

216546408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 216546408 is about 14715.5158930973. The cubic root of 216546408 is about 600.5055073176.

The spelling of 216546408 in words is "two hundred sixteen million, five hundred forty-six thousand, four hundred eight".