263795980 has 48 divisors (see below), whose sum is σ = 635717376. Its totient is φ = 90072000.

The previous prime is 263795971. The next prime is 263795989. The reversal of 263795980 is 89597362.

It is an interprime number because it is at equal distance from previous prime (263795971) and next prime (263795989).

It is not an unprimeable number, because it can be changed into a prime (263795989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31387 + ... + 38893.

It is an arithmetic number, because the mean of its divisors is an integer number (13244112).

Almost surely, 2^263795980 is an apocalyptic number.

263795980 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 263795980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317858688).

263795980 is an abundant number, since it is smaller than the sum of its proper divisors (371921396).

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

263795980 is a wasteful number, since it uses less digits than its factorization.

263795980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The square root of 263795980 is about 16241.7973143369. The cubic root of 263795980 is about 641.3415705949.

The spelling of 263795980 in words is "two hundred sixty-three million, seven hundred ninety-five thousand, nine hundred eighty".