263745760 has 48 divisors (see below), whose sum is σ = 626648400. Its totient is φ = 104897536.

The previous prime is 263745739. The next prime is 263745763. The reversal of 263745760 is 67547362.

263745760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263745763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24036 + ... + 33244.

It is an arithmetic number, because the mean of its divisors is an integer number (13055175).

Almost surely, 2^263745760 is an apocalyptic number.

263745760 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 263745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313324200).

263745760 is an abundant number, since it is smaller than the sum of its proper divisors (362902640).

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

263745760 is a wasteful number, since it uses less digits than its factorization.

263745760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9403 (or 9395 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The square root of 263745760 is about 16240.2512295839. The cubic root of 263745760 is about 641.3008696743.

The spelling of 263745760 in words is "two hundred sixty-three million, seven hundred forty-five thousand, seven hundred sixty".