268464480 has 96 divisors (see below), whose sum is σ = 865396224. Its totient is φ = 69920256.

The previous prime is 268464463. The next prime is 268464481. The reversal of 268464480 is 84464862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268464481) 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 15 ways as a sum of consecutive naturals, for example, 14137 + ... + 27143.

It is an arithmetic number, because the mean of its divisors is an integer number (9014544).

Almost surely, 2^268464480 is an apocalyptic number.

268464480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432698112).

268464480 is an abundant number, since it is smaller than the sum of its proper divisors (596931744).

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

268464480 is a wasteful number, since it uses less digits than its factorization.

268464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13068 (or 13060 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 268464480 is about 16384.8857182466. The cubic root of 268464480 is about 645.1028259839.

The spelling of 268464480 in words is "two hundred sixty-eight million, four hundred sixty-four thousand, four hundred eighty".