268248480 has 96 divisors (see below), whose sum is σ = 850808448. Its totient is φ = 71040000.

The previous prime is 268248439. The next prime is 268248481. The reversal of 268248480 is 84842862.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (268248481) 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, 70630 + ... + 74330.

It is an arithmetic number, because the mean of its divisors is an integer number (8862588).

Almost surely, 2^268248480 is an apocalyptic number.

268248480 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 268248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425404224).

268248480 is an abundant number, since it is smaller than the sum of its proper divisors (582559968).

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

268248480 is a wasteful number, since it uses less digits than its factorization.

268248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 268248480 is about 16378.2929513426. The cubic root of 268248480 is about 644.9297682078.

The spelling of 268248480 in words is "two hundred sixty-eight million, two hundred forty-eight thousand, four hundred eighty".