268048044 has 144 divisors (see below), whose sum is σ = 810220320. Its totient is φ = 73758720.

The previous prime is 268048021. The next prime is 268048057. The reversal of 268048044 is 440840862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194542 + ... + 195914.

It is an arithmetic number, because the mean of its divisors is an integer number (5626530).

Almost surely, 2^268048044 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 268048044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405110160).

268048044 is an abundant number, since it is smaller than the sum of its proper divisors (542172276).

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

268048044 is a wasteful number, since it uses less digits than its factorization.

268048044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 268048044 is about 16372.1728551833. The cubic root of 268048044 is about 644.7690970860.

The spelling of 268048044 in words is "two hundred sixty-eight million, forty-eight thousand, forty-four".