268530480 has 120 divisors (see below), whose sum is σ = 913423680. Its totient is φ = 70686720.

The previous prime is 268530473. The next prime is 268530499. The reversal of 268530480 is 84035862.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54520 + ... + 59240.

It is an arithmetic number, because the mean of its divisors is an integer number (7611864).

Almost surely, 2^268530480 is an apocalyptic number.

268530480 is a gapful number since it is divisible by the number (20) 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 268530480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456711840).

268530480 is an abundant number, since it is smaller than the sum of its proper divisors (644893200).

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

268530480 is a wasteful number, since it uses less digits than its factorization.

268530480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 268530480 is about 16386.8996457536. The cubic root of 268530480 is about 645.1556862330.

The spelling of 268530480 in words is "two hundred sixty-eight million, five hundred thirty thousand, four hundred eighty".