263828480 has 66 divisors (see below), whose sum is σ = 635679474. Its totient is φ = 105066496.

The previous prime is 263828473. The next prime is 263828501. The reversal of 263828480 is 84828362.

It can be written as a sum of positive squares in only one way, i.e., 211062784 + 52765696 = 14528^2 + 7264^2 .

It is a super-2 number, since 2×263828480² = 139210933718220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1162127 + ... + 1162353.

Almost surely, 2^263828480 is an apocalyptic number.

263828480 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 263828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317839737).

263828480 is an abundant number, since it is smaller than the sum of its proper divisors (371850994).

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

263828480 is an frugal number, since it uses more digits than its factorization.

263828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 263828480 is about 16242.7977885585. The cubic root of 263828480 is about 641.3679075456.

The spelling of 263828480 in words is "two hundred sixty-three million, eight hundred twenty-eight thousand, four hundred eighty".