263043072 has 192 divisors, whose sum is σ = 801964800. Its totient is φ = 85155840.

The previous prime is 263043071. The next prime is 263043127. The reversal of 263043072 is 270340362.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263043071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3704797 + ... + 3704867.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^263043072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263043072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

263043072 is an abundant number, since it is smaller than the sum of its proper divisors (538921728).

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

263043072 is an equidigital number, since it uses as much as digits as its factorization.

263043072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 263043072 is about 16218.6026525099. The cubic root of 263043072 is about 640.7308317941.

The spelling of 263043072 in words is "two hundred sixty-three million, forty-three thousand, seventy-two".