216459264 has 144 divisors (see below), whose sum is σ = 672235200. Its totient is φ = 61759488.

The previous prime is 216459251. The next prime is 216459301. The reversal of 216459264 is 462954612.

It is a happy number.

It is a super-2 number, since 2×216459264² = 93709225942843392, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300697 + ... + 301415.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2^216459264 is an apocalyptic number.

216459264 is a gapful number since it is divisible by the number (24) 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 216459264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

216459264 is an abundant number, since it is smaller than the sum of its proper divisors (455775936).

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

216459264 is an equidigital number, since it uses as much as digits as its factorization.

216459264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 731 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 216459264 is about 14712.5546388110. The cubic root of 216459264 is about 600.4249434119.

The spelling of 216459264 in words is "two hundred sixteen million, four hundred fifty-nine thousand, two hundred sixty-four".