263381040 has 240 divisors, whose sum is σ = 1003373280. Its totient is φ = 61378560.

The previous prime is 263381039. The next prime is 263381071. The reversal of 263381040 is 40183362.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 263380995 and 263381013.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 177100 + ... + 178580.

It is an arithmetic number, because the mean of its divisors is an integer number (4180722).

Almost surely, 2^263381040 is an apocalyptic number.

263381040 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 263381040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501686640).

263381040 is an abundant number, since it is smaller than the sum of its proper divisors (739992240).

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

263381040 is a wasteful number, since it uses less digits than its factorization.

263381040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 263381040 is about 16229.0184546078. The cubic root of 263381040 is about 641.0051263419.

The spelling of 263381040 in words is "two hundred sixty-three million, three hundred eighty-one thousand, forty".