263303040 has 512 divisors, whose sum is σ = 1135088640. Its totient is φ = 50135040.

The previous prime is 263302997. The next prime is 263303081. The reversal of 263303040 is 40303362.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 263302998 and 263303016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1921852 + ... + 1921988.

It is an arithmetic number, because the mean of its divisors is an integer number (2216970).

Almost surely, 2^263303040 is an apocalyptic number.

263303040 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 263303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567544320).

263303040 is an abundant number, since it is smaller than the sum of its proper divisors (871785600).

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

263303040 is a wasteful number, since it uses less digits than its factorization.

263303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 263303040 is about 16226.6151738432. The cubic root of 263303040 is about 640.9418424443.

It can be divided in two parts, 263 and 303040, that added together give a palindrome (303303).

The spelling of 263303040 in words is "two hundred sixty-three million, three hundred three thousand, forty".