268957920 has 384 divisors, whose sum is σ = 1114767360. Its totient is φ = 52807680.

The previous prime is 268957907. The next prime is 268957937. The reversal of 268957920 is 29759862.

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

It is a self number, because there is not a number n which added to its sum of digits gives 268957920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 702049 + ... + 702431.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 2^268957920 is an apocalyptic number.

268957920 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 268957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557383680).

268957920 is an abundant number, since it is smaller than the sum of its proper divisors (845809440).

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

268957920 is a wasteful number, since it uses less digits than its factorization.

268957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 268957920 is about 16399.9365852432. The cubic root of 268957920 is about 645.4978189114.

The spelling of 268957920 in words is "two hundred sixty-eight million, nine hundred fifty-seven thousand, nine hundred twenty".