268554852 has 72 divisors (see below), whose sum is σ = 706815200. Its totient is φ = 89282088.

The previous prime is 268554821. The next prime is 268554857. The reversal of 268554852 is 258455862.

It is a happy number.

268554852 is a `hidden beast` number, since 26 + 85 + 548 + 5 + 2 = 666.

Its product of digits (768000) is a multiple of the sum of its prime divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 268554798 and 268554807.

It is not an unprimeable number, because it can be changed into a prime (268554857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708399 + ... + 708777.

Almost surely, 2^268554852 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 268554852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353407600).

268554852 is an abundant number, since it is smaller than the sum of its proper divisors (438260348).

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

268554852 is an frugal number, since it uses more digits than its factorization.

268554852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 384 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 268554852 is about 16387.6432716849. The cubic root of 268554852 is about 645.1752038917.

The spelling of 268554852 in words is "two hundred sixty-eight million, five hundred fifty-four thousand, eight hundred fifty-two".