218460000 has 240 divisors, whose sum is σ = 784099008. Its totient is φ = 52800000.

The previous prime is 218459977. The next prime is 218460001. The reversal of 218460000 is 64812.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218460001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659835 + ... + 660165.

Almost surely, 2^218460000 is an apocalyptic number.

218460000 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 218460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392049504).

218460000 is an abundant number, since it is smaller than the sum of its proper divisors (565639008).

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

218460000 is a wasteful number, since it uses less digits than its factorization.

218460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 218460000 is about 14780.3924169827. The cubic root of 218460000 is about 602.2691849582.

The spelling of 218460000 in words is "two hundred eighteen million, four hundred sixty thousand".