263824040 has 16 divisors (see below), whose sum is σ = 593604180. Its totient is φ = 105529600.

The previous prime is 263824039. The next prime is 263824069. The reversal of 263824040 is 40428362.

It can be written as a sum of positive squares in 2 ways, for example, as 255168676 + 8655364 = 15974^2 + 2942^2 .

It is a junction number, because it is equal to n+sod(n) for n = 263823994 and 263824012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3297761 + ... + 3297840.

Almost surely, 2^263824040 is an apocalyptic number.

263824040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263824040 is an abundant number, since it is smaller than the sum of its proper divisors (329780140).

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

263824040 is a wasteful number, since it uses less digits than its factorization.

263824040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595612 (or 6595608 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 263824040 is about 16242.6611120223. The cubic root of 263824040 is about 641.3643096405.

The spelling of 263824040 in words is "two hundred sixty-three million, eight hundred twenty-four thousand, forty".