268473040 has 80 divisors (see below), whose sum is σ = 716829120. Its totient is φ = 92482560.

The previous prime is 268473013. The next prime is 268473053. The reversal of 268473040 is 40374862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 268472987 and 268473005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8692 + ... + 24748.

It is an arithmetic number, because the mean of its divisors is an integer number (8960364).

Almost surely, 2^268473040 is an apocalyptic number.

268473040 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 268473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358414560).

268473040 is an abundant number, since it is smaller than the sum of its proper divisors (448356080).

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

268473040 is a wasteful number, since it uses less digits than its factorization.

268473040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16100 (or 16094 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 268473040 is about 16385.1469325118. The cubic root of 268473040 is about 645.1096822869.

The spelling of 268473040 in words is "two hundred sixty-eight million, four hundred seventy-three thousand, forty".