216503460 has 72 divisors (see below), whose sum is σ = 658517496. Its totient is φ = 57576960.

The previous prime is 216503453. The next prime is 216503467. The reversal of 216503460 is 64305612.

216503460 is a `hidden beast` number, since 2 + 1 + 650 + 3 + 4 + 6 + 0 = 666.

216503460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216503453) and next prime (216503467).

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 215913636 = 768^2 + 14694^2 .

It is not an unprimeable number, because it can be changed into a prime (216503467) 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, 74352 + ... + 77208.

Almost surely, 2^216503460 is an apocalyptic number.

216503460 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 216503460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329258748).

216503460 is an abundant number, since it is smaller than the sum of its proper divisors (442014036).

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

216503460 is a wasteful number, since it uses less digits than its factorization.

216503460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 216503460 is about 14714.0565446786. The cubic root of 216503460 is about 600.4658049493.

The spelling of 216503460 in words is "two hundred sixteen million, five hundred three thousand, four hundred sixty".