263873280 has 144 divisors (see below), whose sum is σ = 919505664. Its totient is φ = 63959040.

The previous prime is 263873279. The next prime is 263873287. The reversal of 263873280 is 82378362.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (263873287) 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, 39117 + ... + 45363.

It is an arithmetic number, because the mean of its divisors is an integer number (6385456).

Almost surely, 2^263873280 is an apocalyptic number.

263873280 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 263873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459752832).

263873280 is an abundant number, since it is smaller than the sum of its proper divisors (655632384).

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

263873280 is a wasteful number, since it uses less digits than its factorization.

263873280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 263873280 is about 16244.1768027807. The cubic root of 263873280 is about 641.4042084736.

The spelling of 263873280 in words is "two hundred sixty-three million, eight hundred seventy-three thousand, two hundred eighty".