263489840 has 80 divisors (see below), whose sum is σ = 646833600. Its totient is φ = 99618816.

The previous prime is 263489797. The next prime is 263489857. The reversal of 263489840 is 48984362.

263489840 = T₆₁ + T₆₂ + ... + T₁₁₆₄.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 263489791 and 263489800.

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 15 ways as a sum of consecutive naturals, for example, 162956 + ... + 164564.

It is an arithmetic number, because the mean of its divisors is an integer number (8085420).

Almost surely, 2^263489840 is an apocalyptic number.

263489840 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 263489840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323416800).

263489840 is an abundant number, since it is smaller than the sum of its proper divisors (383343760).

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

263489840 is a wasteful number, since it uses less digits than its factorization.

263489840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 263489840 is about 16232.3701288506. The cubic root of 263489840 is about 641.0933784003.

The spelling of 263489840 in words is "two hundred sixty-three million, four hundred eighty-nine thousand, eight hundred forty".