216200448 has 144 divisors (see below), whose sum is σ = 660620800. Its totient is φ = 69672960.

The previous prime is 216200443. The next prime is 216200459. The reversal of 216200448 is 844002612.

216200448 is a `hidden beast` number, since 2 + 16 + 200 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216200443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213768 + ... + 214776.

Almost surely, 2^216200448 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 216200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330310400).

216200448 is an abundant number, since it is smaller than the sum of its proper divisors (444420352).

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

216200448 is a wasteful number, since it uses less digits than its factorization.

216200448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 216200448 is about 14703.7562547806. The cubic root of 216200448 is about 600.1855426173.

The spelling of 216200448 in words is "two hundred sixteen million, two hundred thousand, four hundred forty-eight".