268509150 has 288 divisors, whose sum is σ = 909941760. Its totient is φ = 55261440.

The previous prime is 268509139. The next prime is 268509151. The reversal of 268509150 is 51905862.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268509151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3235009 + ... + 3235091.

It is an arithmetic number, because the mean of its divisors is an integer number (3159520).

Almost surely, 2^268509150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268509150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

268509150 is an abundant number, since it is smaller than the sum of its proper divisors (641432610).

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

268509150 is a wasteful number, since it uses less digits than its factorization.

268509150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 268509150 is about 16386.2488080707. The cubic root of 268509150 is about 645.1386037090.

The spelling of 268509150 in words is "two hundred sixty-eight million, five hundred nine thousand, one hundred fifty".