218030400 has 504 divisors, whose sum is σ = 933541440. Its totient is φ = 49351680.

The previous prime is 218030399. The next prime is 218030467. The reversal of 218030400 is 4030812.

It is a happy number.

218030400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2116749 + ... + 2116851.

Almost surely, 2^218030400 is an apocalyptic number.

218030400 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 218030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466770720).

218030400 is an abundant number, since it is smaller than the sum of its proper divisors (715511040).

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

218030400 is a wasteful number, since it uses less digits than its factorization.

218030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 218030400 is about 14765.8524982474. The cubic root of 218030400 is about 601.8741399042.

The spelling of 218030400 in words is "two hundred eighteen million, thirty thousand, four hundred".