263480448 has 384 divisors, whose sum is σ = 948844800. Its totient is φ = 63866880.

The previous prime is 263480447. The next prime is 263480453. The reversal of 263480448 is 844084362.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (263480443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3932511 + ... + 3932577.

It is an arithmetic number, because the mean of its divisors is an integer number (2470950).

Almost surely, 2^263480448 is an apocalyptic number.

263480448 is a gapful number since it is divisible by the number (28) 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 263480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474422400).

263480448 is an abundant number, since it is smaller than the sum of its proper divisors (685364352).

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

263480448 is a wasteful number, since it uses less digits than its factorization.

263480448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 263480448 is about 16232.0808277928. The cubic root of 263480448 is about 641.0857611293.

The spelling of 263480448 in words is "two hundred sixty-three million, four hundred eighty thousand, four hundred forty-eight".