268473744 has 240 divisors, whose sum is σ = 978776640. Its totient is φ = 69672960.

The previous prime is 268473727. The next prime is 268473763. The reversal of 268473744 is 447374862.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (903168) is a multiple of the sum of its prime divisors (1176).

It is a self number, because there is not a number n which added to its sum of digits gives 268473744.

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 47 ways as a sum of consecutive naturals, for example, 232272 + ... + 233424.

It is an arithmetic number, because the mean of its divisors is an integer number (4078236).

Almost surely, 2^268473744 is an apocalyptic number.

268473744 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 268473744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489388320).

268473744 is an abundant number, since it is smaller than the sum of its proper divisors (710302896).

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

268473744 is a wasteful number, since it uses less digits than its factorization.

268473744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1176 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 268473744 is about 16385.1684153688. The cubic root of 268473744 is about 645.1102461633.

The spelling of 268473744 in words is "two hundred sixty-eight million, four hundred seventy-three thousand, seven hundred forty-four".