268258050 has 72 divisors (see below), whose sum is σ = 725501556. Its totient is φ = 71061120.

The previous prime is 268258043. The next prime is 268258051. The reversal of 268258050 is 50852862.

268258050 is a `hidden beast` number, since 26 + 8 + 2 + 580 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10751841 + 257506209 = 3279^2 + 16047^2 .

It is a junction number, because it is equal to n+sod(n) for n = 268257996 and 268258014.

It is not an unprimeable number, because it can be changed into a prime (268258051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68752 + ... + 72548.

Almost surely, 2^268258050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268258050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362750778).

268258050 is an abundant number, since it is smaller than the sum of its proper divisors (457243506).

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

268258050 is a wasteful number, since it uses less digits than its factorization.

268258050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 268258050 is about 16378.5851037261. The cubic root of 268258050 is about 644.9374375951.

The spelling of 268258050 in words is "two hundred sixty-eight million, two hundred fifty-eight thousand, fifty".