268418304 has 432 divisors, whose sum is σ = 1033119360. Its totient is φ = 64880640.

The previous prime is 268418291. The next prime is 268418327. The reversal of 268418304 is 403814862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3015892 + ... + 3015980.

It is an arithmetic number, because the mean of its divisors is an integer number (2391480).

Almost surely, 2^268418304 is an apocalyptic number.

268418304 is a gapful number since it is divisible by the number (24) 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 268418304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516559680).

268418304 is an abundant number, since it is smaller than the sum of its proper divisors (764701056).

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

268418304 is a wasteful number, since it uses less digits than its factorization.

268418304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 268418304 is about 16383.4765541383. The cubic root of 268418304 is about 645.0658378801.

The spelling of 268418304 in words is "two hundred sixty-eight million, four hundred eighteen thousand, three hundred four".