240009216 has 120 divisors (see below), whose sum is σ = 676310880. Its totient is φ = 75497472.

The previous prime is 240009199. The next prime is 240009221. The reversal of 240009216 is 612900042.

It is a super-3 number, since 3×240009216³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933760 + ... + 934016.

It is an arithmetic number, because the mean of its divisors is an integer number (5635924).

Almost surely, 2^240009216 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 240009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338155440).

240009216 is an abundant number, since it is smaller than the sum of its proper divisors (436301664).

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

240009216 is an equidigital number, since it uses as much as digits as its factorization.

240009216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 240009216 is about 15492.2308270952. The cubic root of 240009216 is about 621.4544556042.

Adding to 240009216 its reverse (612900042), we get a palindrome (852909258).

The spelling of 240009216 in words is "two hundred forty million, nine thousand, two hundred sixteen".