268445520 has 240 divisors, whose sum is σ = 1052313600. Its totient is φ = 61302528.

The previous prime is 268445519. The next prime is 268445537. The reversal of 268445520 is 25544862.

It is a happy number.

268445520 is a `hidden beast` number, since 2 + 68 + 44 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 246417 + ... + 247503.

It is an arithmetic number, because the mean of its divisors is an integer number (4384640).

Almost surely, 2^268445520 is an apocalyptic number.

268445520 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 268445520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526156800).

268445520 is an abundant number, since it is smaller than the sum of its proper divisors (783868080).

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

268445520 is a wasteful number, since it uses less digits than its factorization.

268445520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 268445520 is about 16384.3071260276. The cubic root of 268445520 is about 645.0876390741.

The spelling of 268445520 in words is "two hundred sixty-eight million, four hundred forty-five thousand, five hundred twenty".