218955408 has 80 divisors (see below), whose sum is σ = 648339456. Its totient is φ = 62375040.

The previous prime is 218955403. The next prime is 218955419. The reversal of 218955408 is 804559812.

It is a happy number.

218955408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 218955408.

It is not an unprimeable number, because it can be changed into a prime (218955403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148113 + ... + 149583.

Almost surely, 2^218955408 is an apocalyptic number.

218955408 is a gapful number since it is divisible by the number (28) 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 218955408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324169728).

218955408 is an abundant number, since it is smaller than the sum of its proper divisors (429384048).

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

218955408 is a wasteful number, since it uses less digits than its factorization.

218955408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 218955408 is about 14797.1418861887. The cubic root of 218955408 is about 602.7241022827.

The spelling of 218955408 in words is "two hundred eighteen million, nine hundred fifty-five thousand, four hundred eight".