216781488 has 400 divisors, whose sum is σ = 833577600. Its totient is φ = 53343360.

The previous prime is 216781471. The next prime is 216781519. The reversal of 216781488 is 884187612.

216781488 is a `hidden beast` number, since 2 + 167 + 8 + 1 + 488 = 666.

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

Its product of digits (172032) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11409543 + ... + 11409561.

It is an arithmetic number, because the mean of its divisors is an integer number (2083944).

Almost surely, 2^216781488 is an apocalyptic number.

216781488 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 216781488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416788800).

216781488 is an abundant number, since it is smaller than the sum of its proper divisors (616796112).

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

216781488 is a wasteful number, since it uses less digits than its factorization.

216781488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 216781488 is about 14723.5012140455. The cubic root of 216781488 is about 600.7227290882.

The spelling of 216781488 in words is "two hundred sixteen million, seven hundred eighty-one thousand, four hundred eighty-eight".