268434384 has 40 divisors (see below), whose sum is σ = 694881120. Its totient is φ = 89294208.

The previous prime is 268434373. The next prime is 268434389. The reversal of 268434384 is 483434862.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268434389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18939 + ... + 29925.

It is an arithmetic number, because the mean of its divisors is an integer number (17372028).

Almost surely, 2^268434384 is an apocalyptic number.

268434384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268434384 is an abundant number, since it is smaller than the sum of its proper divisors (426446736).

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

268434384 is a wasteful number, since it uses less digits than its factorization.

268434384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11507 (or 11501 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 268434384 is about 16383.9672851236. The cubic root of 268434384 is about 645.0787188342.

The spelling of 268434384 in words is "two hundred sixty-eight million, four hundred thirty-four thousand, three hundred eighty-four".