268219200 has 336 divisors, whose sum is σ = 986454720. Its totient is φ = 63406080.

The previous prime is 268219187. The next prime is 268219207. The reversal of 268219200 is 2912862.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268219207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1550314 + ... + 1550486.

Almost surely, 2^268219200 is an apocalyptic number.

268219200 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 268219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493227360).

268219200 is an abundant number, since it is smaller than the sum of its proper divisors (718235520).

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

268219200 is a wasteful number, since it uses less digits than its factorization.

268219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 268219200 is about 16377.3990609010. The cubic root of 268219200 is about 644.9063021156.

The spelling of 268219200 in words is "two hundred sixty-eight million, two hundred nineteen thousand, two hundred".