268464960 has 252 divisors, whose sum is σ = 963992484. Its totient is φ = 68567040.

The previous prime is 268464949. The next prime is 268464961. The reversal of 268464960 is 69464862.

It can be written as a sum of positive squares in 2 ways, for example, as 108493056 + 159971904 = 10416^2 + 12648^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268464961) 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 35 ways as a sum of consecutive naturals, for example, 2767632 + ... + 2767728.

It is an arithmetic number, because the mean of its divisors is an integer number (3825367).

Almost surely, 2^268464960 is an apocalyptic number.

268464960 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 268464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481996242).

268464960 is an abundant number, since it is smaller than the sum of its proper divisors (695527524).

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

268464960 is a wasteful number, since it uses less digits than its factorization.

268464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 268464960 is about 16384.9003658857. The cubic root of 268464960 is about 645.1032104533.

The spelling of 268464960 in words is "two hundred sixty-eight million, four hundred sixty-four thousand, nine hundred sixty".