268854408 has 96 divisors (see below), whose sum is σ = 772200000. Its totient is φ = 84267648.

The previous prime is 268854407. The next prime is 268854409. The reversal of 268854408 is 804458862.

268854408 is a `hidden beast` number, since 26 + 88 + 544 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (268854407) and next prime (268854409).

It is not an unprimeable number, because it can be changed into a prime (268854403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203173 + ... + 204491.

It is an arithmetic number, because the mean of its divisors is an integer number (8043750).

Almost surely, 2^268854408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268854408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386100000).

268854408 is an abundant number, since it is smaller than the sum of its proper divisors (503345592).

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

268854408 is a wasteful number, since it uses less digits than its factorization.

268854408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 268854408 is about 16396.7804156792. The cubic root of 268854408 is about 645.4149988382.

The spelling of 268854408 in words is "two hundred sixty-eight million, eight hundred fifty-four thousand, four hundred eight".