263450880 has 648 divisors, whose sum is σ = 1187449536. Its totient is φ = 54743040.

The previous prime is 263450879. The next prime is 263450911. The reversal of 263450880 is 88054362.

263450880 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 (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23950075 + ... + 23950085.

Almost surely, 2^263450880 is an apocalyptic number.

263450880 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 263450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593724768).

263450880 is an abundant number, since it is smaller than the sum of its proper divisors (923998656).

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

263450880 is an equidigital number, since it uses as much as digits as its factorization.

263450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 263450880 is about 16231.1700132800. The cubic root of 263450880 is about 641.0617791691.

The spelling of 263450880 in words is "two hundred sixty-three million, four hundred fifty thousand, eight hundred eighty".