268463104 has 176 divisors, whose sum is σ = 685957888. Its totient is φ = 102187008.

The previous prime is 268463087. The next prime is 268463113. The reversal of 268463104 is 401364862.

It is a self number, because there is not a number n which added to its sum of digits gives 268463104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4006879 + ... + 4006945.

It is an arithmetic number, because the mean of its divisors is an integer number (3897488).

Almost surely, 2^268463104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342978944).

268463104 is an abundant number, since it is smaller than the sum of its proper divisors (417494784).

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

268463104 is a wasteful number, since it uses less digits than its factorization.

268463104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 268463104 is about 16384.8437282752. The cubic root of 268463104 is about 645.1017238356.

Subtracting from 268463104 its product of nonzero digits (27648), we obtain a 28-th power (268435456 = 2²⁸).

The spelling of 268463104 in words is "two hundred sixty-eight million, four hundred sixty-three thousand, one hundred four".