268507200 has 252 divisors, whose sum is σ = 956785488. Its totient is φ = 65894400.

The previous prime is 268507199. The next prime is 268507207. The reversal of 268507200 is 2705862.

It is a super-2 number, since 2×268507200² = 144192232903680000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (268507207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 811035 + ... + 811365.

Almost surely, 2^268507200 is an apocalyptic number.

268507200 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 268507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478392744).

268507200 is an abundant number, since it is smaller than the sum of its proper divisors (688278288).

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

268507200 is a wasteful number, since it uses less digits than its factorization.

268507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 268507200 is about 16386.1893068523. The cubic root of 268507200 is about 645.1370419704.

The spelling of 268507200 in words is "two hundred sixty-eight million, five hundred seven thousand, two hundred".