216020448 has 144 divisors (see below), whose sum is σ = 711075456. Its totient is φ = 60929280.

The previous prime is 216020447. The next prime is 216020471. The reversal of 216020448 is 844020612.

216020448 is a `hidden beast` number, since 216 + 0 + 2 + 0 + 448 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216020447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166683 + ... + 167973.

It is an arithmetic number, because the mean of its divisors is an integer number (4938024).

Almost surely, 2^216020448 is an apocalyptic number.

216020448 is a gapful number since it is divisible by the number (28) 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 216020448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355537728).

216020448 is an abundant number, since it is smaller than the sum of its proper divisors (495055008).

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

216020448 is a wasteful number, since it uses less digits than its factorization.

216020448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1386 counting only the distinct ones).

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

The square root of 216020448 is about 14697.6340953230. The cubic root of 216020448 is about 600.0189327359.

The spelling of 216020448 in words is "two hundred sixteen million, twenty thousand, four hundred forty-eight".