268857952 has 24 divisors (see below), whose sum is σ = 577434312. Its totient is φ = 122208000.

The previous prime is 268857949. The next prime is 268857959. The reversal of 268857952 is 259758862.

268857952 = T₄₉₈ + T₄₉₉ + ... + T₁₂₀₁.

268857952 is nontrivially palindromic in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 268857952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268857959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 381549 + ... + 382252.

It is an arithmetic number, because the mean of its divisors is an integer number (24059763).

Almost surely, 2^268857952 is an apocalyptic number.

268857952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

268857952 is an abundant number, since it is smaller than the sum of its proper divisors (308576360).

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

268857952 is a wasteful number, since it uses less digits than its factorization.

268857952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763822 (or 763814 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 52.

The square root of 268857952 is about 16396.8884853194. Note that the first 3 decimals coincide. The cubic root of 268857952 is about 645.4178347482.

The spelling of 268857952 in words is "two hundred sixty-eight million, eight hundred fifty-seven thousand, nine hundred fifty-two".