218448480 has 192 divisors, whose sum is σ = 735049728. Its totient is φ = 54405120.

The previous prime is 218448467. The next prime is 218448499. The reversal of 218448480 is 84844812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518670 + ... + 519090.

It is an arithmetic number, because the mean of its divisors is an integer number (3828384).

Almost surely, 2^218448480 is an apocalyptic number.

218448480 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 218448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367524864).

218448480 is an abundant number, since it is smaller than the sum of its proper divisors (516601248).

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

218448480 is a wasteful number, since it uses less digits than its factorization.

218448480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 218448480 is about 14780.0027063597. The cubic root of 218448480 is about 602.2585983321.

The spelling of 218448480 in words is "two hundred eighteen million, four hundred forty-eight thousand, four hundred eighty".