218414880 has 240 divisors, whose sum is σ = 812306880. Its totient is φ = 55116288.

The previous prime is 218414869. The next prime is 218414881. The reversal of 218414880 is 88414812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (218414881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245797 + ... + 246683.

It is an arithmetic number, because the mean of its divisors is an integer number (3384612).

Almost surely, 2^218414880 is an apocalyptic number.

218414880 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 218414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406153440).

218414880 is an abundant number, since it is smaller than the sum of its proper divisors (593892000).

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

218414880 is a wasteful number, since it uses less digits than its factorization.

218414880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 218414880 is about 14778.8659916788. The cubic root of 218414880 is about 602.2277185468.

The spelling of 218414880 in words is "two hundred eighteen million, four hundred fourteen thousand, eight hundred eighty".