218314460 has 48 divisors (see below), whose sum is σ = 564263616. Its totient is φ = 69092352.

The previous prime is 218314451. The next prime is 218314469. The reversal of 218314460 is 64413812.

218314460 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (218314451) and next prime (218314469).

It is a super-2 number, since 2×218314460² = 95322406890183200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218314469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58157 + ... + 61796.

It is an arithmetic number, because the mean of its divisors is an integer number (11755492).

Almost surely, 2^218314460 is an apocalyptic number.

218314460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218314460 is an abundant number, since it is smaller than the sum of its proper divisors (345949156).

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

218314460 is a wasteful number, since it uses less digits than its factorization.

218314460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119982 (or 119980 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 218314460 is about 14775.4681820916. The cubic root of 218314460 is about 602.1354095458.

The spelling of 218314460 in words is "two hundred eighteen million, three hundred fourteen thousand, four hundred sixty".