216483984 has 120 divisors (see below), whose sum is σ = 646244352. Its totient is φ = 67415040.

The previous prime is 216483907. The next prime is 216483997. The reversal of 216483984 is 489384612.

It is a happy number.

216483984 is a `hidden beast` number, since 216 + 48 + 398 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467337 + ... + 467799.

Almost surely, 2^216483984 is an apocalyptic number.

216483984 is a gapful number since it is divisible by the number (24) 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 216483984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323122176).

216483984 is an abundant number, since it is smaller than the sum of its proper divisors (429760368).

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

216483984 is a wasteful number, since it uses less digits than its factorization.

216483984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 216483984 is about 14713.3947136614. The cubic root of 216483984 is about 600.4477990436.

The spelling of 216483984 in words is "two hundred sixteen million, four hundred eighty-three thousand, nine hundred eighty-four".