218730456 has 80 divisors (see below), whose sum is σ = 700183440. Its totient is φ = 62493120.

The previous prime is 218730431. The next prime is 218730461. The reversal of 218730456 is 654037812.

218730456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 218730456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19575 + ... + 28646.

It is an arithmetic number, because the mean of its divisors is an integer number (8752293).

Almost surely, 2^218730456 is an apocalyptic number.

It is an amenable number.

218730456 is an abundant number, since it is smaller than the sum of its proper divisors (481452984).

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

218730456 is a wasteful number, since it uses less digits than its factorization.

218730456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48246 (or 48233 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 218730456 is about 14789.5387352006. The cubic root of 218730456 is about 602.5176211968.

The spelling of 218730456 in words is "two hundred eighteen million, seven hundred thirty thousand, four hundred fifty-six".