216448 has 32 divisors (see below), whose sum is σ = 459000. Its totient is φ = 101376.

The previous prime is 216431. The next prime is 216451. The reversal of 216448 is 844612.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2388 + ... + 2476.

2²¹⁶⁴⁴⁸ 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 216448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229500).

216448 is an abundant number, since it is smaller than the sum of its proper divisors (242552).

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

216448 is an equidigital number, since it uses as much as digits as its factorization.

216448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 216448 is about 465.2397231536. The cubic root of 216448 is about 60.0414528359.

It can be divided in two parts, 2 and 16448, that multiplied together give a triangular number (32896 = T₂₅₆).

The spelling of 216448 in words is "two hundred sixteen thousand, four hundred forty-eight".