216385752 has 96 divisors (see below), whose sum is σ = 598978800. Its totient is φ = 65091840.

The previous prime is 216385751. The next prime is 216385759. The reversal of 216385752 is 257583612.

216385752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 216385752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216385751) 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, 781038 + ... + 781314.

Almost surely, 2^216385752 is an apocalyptic number.

216385752 is a gapful number since it is divisible by the number (22) 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 216385752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299489400).

216385752 is an abundant number, since it is smaller than the sum of its proper divisors (382593048).

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

216385752 is a wasteful number, since it uses less digits than its factorization.

216385752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 216385752 is about 14710.0561521702. The cubic root of 216385752 is about 600.3569653619.

The spelling of 216385752 in words is "two hundred sixteen million, three hundred eighty-five thousand, seven hundred fifty-two".