268429752 has 48 divisors (see below), whose sum is σ = 728339040. Its totient is φ = 89311488.

The previous prime is 268429751. The next prime is 268429787. The reversal of 268429752 is 257924862.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 268429698 and 268429707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268429751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39553 + ... + 45839.

It is an arithmetic number, because the mean of its divisors is an integer number (15173730).

Almost surely, 2^268429752 is an apocalyptic number.

It is an amenable number.

268429752 is an abundant number, since it is smaller than the sum of its proper divisors (459909288).

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

268429752 is a wasteful number, since it uses less digits than its factorization.

268429752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892 (or 6885 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 268429752 is about 16383.8259268096. The cubic root of 268429752 is about 645.0750084032.

The spelling of 268429752 in words is "two hundred sixty-eight million, four hundred twenty-nine thousand, seven hundred fifty-two".