216948480 has 216 divisors, whose sum is σ = 806701392. Its totient is φ = 49545216.

The previous prime is 216948469. The next prime is 216948499. The reversal of 216948480 is 84849612.

216948480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 187584 + ... + 188736.

Almost surely, 2^216948480 is an apocalyptic number.

216948480 is a gapful number since it is divisible by the number (20) 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 216948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403350696).

216948480 is an abundant number, since it is smaller than the sum of its proper divisors (589752912).

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

216948480 is a wasteful number, since it uses less digits than its factorization.

216948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 216948480 is about 14729.1710561050. The cubic root of 216948480 is about 600.8769398918.

The spelling of 216948480 in words is "two hundred sixteen million, nine hundred forty-eight thousand, four hundred eighty".