218117460 has 96 divisors (see below), whose sum is σ = 668570112. Its totient is φ = 52693120.

The previous prime is 218117447. The next prime is 218117477. The reversal of 218117460 is 64711812.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 371287 + ... + 371873.

It is an arithmetic number, because the mean of its divisors is an integer number (6964272).

Almost surely, 2^218117460 is an apocalyptic number.

218117460 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 218117460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334285056).

218117460 is an abundant number, since it is smaller than the sum of its proper divisors (450452652).

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

218117460 is a wasteful number, since it uses less digits than its factorization.

218117460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 218117460 is about 14768.8002220898. The cubic root of 218117460 is about 601.9542391164.

The spelling of 218117460 in words is "two hundred eighteen million, one hundred seventeen thousand, four hundred sixty".