216753292 has 48 divisors (see below), whose sum is σ = 459047680. Its totient is φ = 87480000.

The previous prime is 216753283. The next prime is 216753293. The reversal of 216753292 is 292357612.

216753292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (216753293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95167 + ... + 97417.

Almost surely, 2^216753292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216753292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229523840).

216753292 is an abundant number, since it is smaller than the sum of its proper divisors (242294388).

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

216753292 is a wasteful number, since it uses less digits than its factorization.

216753292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2460 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 216753292 is about 14722.5436660925. The cubic root of 216753292 is about 600.6966833334.

The spelling of 216753292 in words is "two hundred sixteen million, seven hundred fifty-three thousand, two hundred ninety-two".