268268440 has 32 divisors (see below), whose sum is σ = 658478160. Its totient is φ = 97552000.

The previous prime is 268268431. The next prime is 268268489. The reversal of 268268440 is 44862862.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 268268393 and 268268402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304411 + ... + 305290.

Almost surely, 2^268268440 is an apocalyptic number.

268268440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268268440 is an abundant number, since it is smaller than the sum of its proper divisors (390209720).

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

268268440 is a wasteful number, since it uses less digits than its factorization.

268268440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609723 (or 609719 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 268268440 is about 16378.9022831202. The cubic root of 268268440 is about 644.9457639230.

The spelling of 268268440 in words is "two hundred sixty-eight million, two hundred sixty-eight thousand, four hundred forty".