218077440 has 432 divisors, whose sum is σ = 866819520. Its totient is φ = 46448640.

The previous prime is 218077427. The next prime is 218077441. The reversal of 218077440 is 44770812.

218077440 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 (218077441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3575010 + ... + 3575070.

Almost surely, 2^218077440 is an apocalyptic number.

218077440 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 218077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433409760).

218077440 is an abundant number, since it is smaller than the sum of its proper divisors (648742080).

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

218077440 is a wasteful number, since it uses less digits than its factorization.

218077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 218077440 is about 14767.4452766889. The cubic root of 218077440 is about 601.9174215195.

The spelling of 218077440 in words is "two hundred eighteen million, seventy-seven thousand, four hundred forty".