268376448 has 64 divisors (see below), whose sum is σ = 714607920. Its totient is φ = 89241600.

The previous prime is 268376441. The next prime is 268376497. The reversal of 268376448 is 844673862.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 268376397 and 268376406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268376441) 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, 268686 + ... + 269682.

Almost surely, 2^268376448 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 268376448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357303960).

268376448 is an abundant number, since it is smaller than the sum of its proper divisors (446231472).

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

268376448 is an equidigital number, since it uses as much as digits as its factorization.

268376448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1703 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 268376448 is about 16382.1991197763. The cubic root of 268376448 is about 645.0323065364.

The spelling of 268376448 in words is "two hundred sixty-eight million, three hundred seventy-six thousand, four hundred forty-eight".