268625280 has 512 divisors, whose sum is σ = 1128038400. Its totient is φ = 52715520.

The previous prime is 268625233. The next prime is 268625281. The reversal of 268625280 is 82526862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268625281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3400281 + ... + 3400359.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 2^268625280 is an apocalyptic number.

268625280 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 268625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564019200).

268625280 is an abundant number, since it is smaller than the sum of its proper divisors (859413120).

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

268625280 is a wasteful number, since it uses less digits than its factorization.

268625280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 268625280 is about 16389.7919449882. The cubic root of 268625280 is about 645.2315976196.

It can be divided in two parts, 2686 and 25280, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 268625280 in words is "two hundred sixty-eight million, six hundred twenty-five thousand, two hundred eighty".