268386432 has 32 divisors (see below), whose sum is σ = 712902480. Its totient is φ = 89462016.

The previous prime is 268386431. The next prime is 268386439. The reversal of 268386432 is 234683862.

268386432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (268386431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 349078 + ... + 349845.

Almost surely, 2^268386432 is an apocalyptic number.

It is an amenable number.

268386432 is an abundant number, since it is smaller than the sum of its proper divisors (444516048).

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

268386432 is an equidigital number, since it uses as much as digits as its factorization.

268386432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698940 (or 698928 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 268386432 is about 16382.5038379364. The cubic root of 268386432 is about 645.0403051552.

The spelling of 268386432 in words is "two hundred sixty-eight million, three hundred eighty-six thousand, four hundred thirty-two".