268273824 has 288 divisors, whose sum is σ = 912171456. Its totient is φ = 68382720.

The previous prime is 268273823. The next prime is 268273847. The reversal of 268273824 is 428372862.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (268273823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507179 + ... + 2507285.

It is an arithmetic number, because the mean of its divisors is an integer number (3167262).

Almost surely, 2^268273824 is an apocalyptic number.

268273824 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 268273824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456085728).

268273824 is an abundant number, since it is smaller than the sum of its proper divisors (643897632).

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

268273824 is a wasteful number, since it uses less digits than its factorization.

268273824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 268273824 is about 16379.0666400745. The cubic root of 268273824 is about 644.9500784631.

Adding to 268273824 its sum of digits (42), we get a triangular number (268273866 = T₂₃₁₆₃).

The spelling of 268273824 in words is "two hundred sixty-eight million, two hundred seventy-three thousand, eight hundred twenty-four".