268204944 has 80 divisors (see below), whose sum is σ = 811198080. Its totient is φ = 74757120.

The previous prime is 268204933. The next prime is 268204949. The reversal of 268204944 is 449402862.

It is not an unprimeable number, because it can be changed into a prime (268204949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4042 + ... + 23510.

It is an arithmetic number, because the mean of its divisors is an integer number (10139976).

Almost surely, 2^268204944 is an apocalyptic number.

268204944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268204944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405599040).

268204944 is an abundant number, since it is smaller than the sum of its proper divisors (542993136).

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

268204944 is a wasteful number, since it uses less digits than its factorization.

268204944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19528 (or 19522 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 268204944 is about 16376.9638211727. The cubic root of 268204944 is about 644.8948762033.

The spelling of 268204944 in words is "two hundred sixty-eight million, two hundred four thousand, nine hundred forty-four".