263183040 has 224 divisors, whose sum is σ = 942197760. Its totient is φ = 69147648.

The previous prime is 263183023. The next prime is 263183047. The reversal of 263183040 is 40381362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 263182995 and 263183013.

It is not an unprimeable number, because it can be changed into a prime (263183047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716937 + ... + 717303.

It is an arithmetic number, because the mean of its divisors is an integer number (4206240).

Almost surely, 2^263183040 is an apocalyptic number.

263183040 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 263183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471098880).

263183040 is an abundant number, since it is smaller than the sum of its proper divisors (679014720).

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

263183040 is a wasteful number, since it uses less digits than its factorization.

263183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 460 counting only the distinct ones).

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

The square root of 263183040 is about 16222.9171236248. The cubic root of 263183040 is about 640.8444581928.

The spelling of 263183040 in words is "two hundred sixty-three million, one hundred eighty-three thousand, forty".