263956320 has 336 divisors, whose sum is σ = 978348672. Its totient is φ = 67184640.

The previous prime is 263956279. The next prime is 263956321. The reversal of 263956320 is 23659362.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263956321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3615804 + ... + 3615876.

It is an arithmetic number, because the mean of its divisors is an integer number (2911752).

Almost surely, 2^263956320 is an apocalyptic number.

263956320 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 263956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489174336).

263956320 is an abundant number, since it is smaller than the sum of its proper divisors (714392352).

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

263956320 is an equidigital number, since it uses as much as digits as its factorization.

263956320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 263956320 is about 16246.7325945865. The cubic root of 263956320 is about 641.4714839721.

The spelling of 263956320 in words is "two hundred sixty-three million, nine hundred fifty-six thousand, three hundred twenty".