218049408 has 80 divisors (see below), whose sum is σ = 648942360. Its totient is φ = 72679680.

The previous prime is 218049371. The next prime is 218049409. The reversal of 218049408 is 804940812.

It is a super-3 number, since 3×218049408³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218049409) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 148 + ... + 20883.

Almost surely, 2^218049408 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 218049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324471180).

218049408 is an abundant number, since it is smaller than the sum of its proper divisors (430892952).

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

218049408 is an equidigital number, since it uses as much as digits as its factorization.

218049408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21057 (or 21036 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 218049408 is about 14766.4961314457. The cubic root of 218049408 is about 601.8916299595.

The spelling of 218049408 in words is "two hundred eighteen million, forty-nine thousand, four hundred eight".