263748880 has 160 divisors (see below), whose sum is σ = 699062400. Its totient is φ = 91938816.

The previous prime is 263748871. The next prime is 263748911. The reversal of 263748880 is 88847362.

It is a self number, because there is not a number n which added to its sum of digits gives 263748880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1524474 + ... + 1524646.

It is an arithmetic number, because the mean of its divisors is an integer number (4369140).

Almost surely, 2^263748880 is an apocalyptic number.

263748880 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 263748880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349531200).

263748880 is an abundant number, since it is smaller than the sum of its proper divisors (435313520).

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

263748880 is a wasteful number, since it uses less digits than its factorization.

263748880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 263748880 is about 16240.3472869271. The cubic root of 263748880 is about 641.3033984363.

It can be divided in two parts, 263748 and 880, that added together give a triangular number (264628 = T₇₂₇).

The spelling of 263748880 in words is "two hundred sixty-three million, seven hundred forty-eight thousand, eight hundred eighty".