268984800 has 360 divisors, whose sum is σ = 1122959376. Its totient is φ = 61378560.

The previous prime is 268984787. The next prime is 268984817. The reversal of 268984800 is 8489862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 453304 + ... + 453896.

Almost surely, 2^268984800 is an apocalyptic number.

268984800 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 268984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561479688).

268984800 is an abundant number, since it is smaller than the sum of its proper divisors (853974576).

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

268984800 is a wasteful number, since it uses less digits than its factorization.

268984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 268984800 is about 16400.7560801324. The cubic root of 268984800 is about 645.5193221554.

The spelling of 268984800 in words is "two hundred sixty-eight million, nine hundred eighty-four thousand, eight hundred".