218300400 has 480 divisors, whose sum is σ = 871819200. Its totient is φ = 51609600.

The previous prime is 218300399. The next prime is 218300431. The reversal of 218300400 is 4003812.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 5324380 + ... + 5324420.

It is an arithmetic number, because the mean of its divisors is an integer number (1816290).

Almost surely, 2^218300400 is an apocalyptic number.

218300400 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 218300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435909600).

218300400 is an abundant number, since it is smaller than the sum of its proper divisors (653518800).

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

218300400 is a wasteful number, since it uses less digits than its factorization.

218300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

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

The square root of 218300400 is about 14774.9923857848. The cubic root of 218300400 is about 602.1224829237.

The spelling of 218300400 in words is "two hundred eighteen million, three hundred thousand, four hundred".