268538401 has 8 divisors (see below), whose sum is σ = 278118144. Its totient is φ = 259119840.

The previous prime is 268538393. The next prime is 268538411. The reversal of 268538401 is 104835862.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 268538401 - 2³ = 268538393 is a prime.

It is a super-2 number, since 2×268538401² = 144225745623273602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268538411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36900 + ... + 43573.

It is an arithmetic number, because the mean of its divisors is an integer number (34764768).

Almost surely, 2^268538401 is an apocalyptic number.

It is an amenable number.

268538401 is a deficient number, since it is larger than the sum of its proper divisors (9579743).

268538401 is an equidigital number, since it uses as much as digits as its factorization.

268538401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80591.

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 268538401 is about 16387.1413309338. The cubic root of 268538401 is about 645.1620296817.

The spelling of 268538401 in words is "two hundred sixty-eight million, five hundred thirty-eight thousand, four hundred one".