268353792 has 162 divisors, whose sum is σ = 900432078. Its totient is φ = 76640256.

The previous prime is 268353781. The next prime is 268353793. The reversal of 268353792 is 297353862.

268353792 is a `hidden beast` number, since 26 + 8 + 3 + 537 + 92 = 666.

268353792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 218566656 + 49787136 = 14784^2 + 7056^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (268353793) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111708 + ... + 114084.

Almost surely, 2^268353792 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 268353792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450216039).

268353792 is an abundant number, since it is smaller than the sum of its proper divisors (632078286).

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

268353792 is a wasteful number, since it uses less digits than its factorization.

268353792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2389 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 268353792 is about 16381.5076229265. The cubic root of 268353792 is about 645.0141550887.

The spelling of 268353792 in words is "two hundred sixty-eight million, three hundred fifty-three thousand, seven hundred ninety-two".