263456928 has 240 divisors, whose sum is σ = 903490560. Its totient is φ = 74680704.

The previous prime is 263456917. The next prime is 263456951. The reversal of 263456928 is 829654362.

263456928 is a `hidden beast` number, since 2 + 63 + 4 + 569 + 28 = 666.

It is a super-2 number, since 2×263456928² = 138819105822394368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2074401 + ... + 2074527.

It is an arithmetic number, because the mean of its divisors is an integer number (3764544).

Almost surely, 2^263456928 is an apocalyptic number.

263456928 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 263456928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451745280).

263456928 is an abundant number, since it is smaller than the sum of its proper divisors (640033632).

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

263456928 is an equidigital number, since it uses as much as digits as its factorization.

263456928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 139 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 263456928 is about 16231.3563204065. The cubic root of 263456928 is about 641.0666847160.

The spelling of 263456928 in words is "two hundred sixty-three million, four hundred fifty-six thousand, nine hundred twenty-eight".