218949408 has 36 divisors (see below), whose sum is σ = 622638198. Its totient is φ = 72983040.

The previous prime is 218949403. The next prime is 218949431. The reversal of 218949408 is 804949812.

It can be written as a sum of positive squares in only one way, i.e., 119508624 + 99440784 = 10932^2 + 9972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (218949403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 379833 + ... + 380408.

Almost surely, 2^218949408 is an apocalyptic number.

It is an amenable number.

218949408 is an abundant number, since it is smaller than the sum of its proper divisors (403688790).

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

218949408 is a wasteful number, since it uses less digits than its factorization.

218949408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760257 (or 760246 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 218949408 is about 14796.9391429444. The cubic root of 218949408 is about 602.7185967817.

The spelling of 218949408 in words is "two hundred eighteen million, nine hundred forty-nine thousand, four hundred eight".