263820480 has 448 divisors, whose sum is σ = 1081479168. Its totient is φ = 52899840.

The previous prime is 263820463. The next prime is 263820481. The reversal of 263820480 is 84028362.

263820480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (263820481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3178519 + ... + 3178601.

It is an arithmetic number, because the mean of its divisors is an integer number (2414016).

Almost surely, 2^263820480 is an apocalyptic number.

263820480 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 263820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540739584).

263820480 is an abundant number, since it is smaller than the sum of its proper divisors (817658688).

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

263820480 is a wasteful number, since it uses less digits than its factorization.

263820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 263820480 is about 16242.5515236985. The cubic root of 263820480 is about 641.3614248046.

The spelling of 263820480 in words is "two hundred sixty-three million, eight hundred twenty thousand, four hundred eighty".