263784240 has 240 divisors, whose sum is σ = 979812288. Its totient is φ = 63258624.

The previous prime is 263784173. The next prime is 263784253. The reversal of 263784240 is 42487362.

263784240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 263784195 and 263784204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281052 + ... + 281988.

Almost surely, 2^263784240 is an apocalyptic number.

263784240 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 263784240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489906144).

263784240 is an abundant number, since it is smaller than the sum of its proper divisors (716028048).

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

263784240 is a wasteful number, since it uses less digits than its factorization.

263784240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 263784240 is about 16241.4358971121. The cubic root of 263784240 is about 641.3320563461.

The spelling of 263784240 in words is "two hundred sixty-three million, seven hundred eighty-four thousand, two hundred forty".