268956450 has 240 divisors, whose sum is σ = 875033280. Its totient is φ = 59978880.

The previous prime is 268956421. The next prime is 268956461. The reversal of 268956450 is 54659862.

268956450 is a `hidden beast` number, since 2 + 6 + 89 + 564 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 268956396 and 268956405.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1502461 + ... + 1502639.

It is an arithmetic number, because the mean of its divisors is an integer number (3645972).

Almost surely, 2^268956450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268956450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437516640).

268956450 is an abundant number, since it is smaller than the sum of its proper divisors (606076830).

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

268956450 is a wasteful number, since it uses less digits than its factorization.

268956450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 268956450 is about 16399.8917679355. The cubic root of 268956450 is about 645.4966429114.

The spelling of 268956450 in words is "two hundred sixty-eight million, nine hundred fifty-six thousand, four hundred fifty".