218448400 has 45 divisors (see below), whose sum is σ = 525533421. Its totient is φ = 87261120.

The previous prime is 218448383. The next prime is 218448409. The reversal of 218448400 is 4844812.

The square root of 218448400 is 14780.

It is a perfect power (a square), and thus also a powerful number.

218448400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 78641424 + 139806976 = 8868^2 + 11824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218448409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 295231 + ... + 295969.

Almost surely, 2^218448400 is an apocalyptic number.

218448400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

218448400 is the 14780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218448400

218448400 is an abundant number, since it is smaller than the sum of its proper divisors (307085021).

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

218448400 is an frugal number, since it uses more digits than its factorization.

218448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The cubic root of 218448400 is about 602.2585248126.

The spelling of 218448400 in words is "two hundred eighteen million, four hundred forty-eight thousand, four hundred".