218463312 has 40 divisors (see below), whose sum is σ = 573936480. Its totient is φ = 71585920.

The previous prime is 218463307. The next prime is 218463313. The reversal of 218463312 is 213364812.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 218463312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218463313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35739 + ... + 41402.

It is an arithmetic number, because the mean of its divisors is an integer number (14348412).

Almost surely, 2^218463312 is an apocalyptic number.

It is an amenable number.

218463312 is an abundant number, since it is smaller than the sum of its proper divisors (355473168).

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

218463312 is a wasteful number, since it uses less digits than its factorization.

218463312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77211 (or 77205 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 218463312 is about 14780.5044568851. The cubic root of 218463312 is about 602.2722285443.

The spelling of 218463312 in words is "two hundred eighteen million, four hundred sixty-three thousand, three hundred twelve".