263374848 has 192 divisors, whose sum is σ = 853070400. Its totient is φ = 79626240.

The previous prime is 263374831. The next prime is 263374849. The reversal of 263374848 is 848473362.

263374848 is a `hidden beast` number, since 2 + 633 + 7 + 4 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (263374849) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 608040 + ... + 608472.

It is an arithmetic number, because the mean of its divisors is an integer number (4443075).

Almost surely, 2^263374848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263374848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426535200).

263374848 is an abundant number, since it is smaller than the sum of its proper divisors (589695552).

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

263374848 is a wasteful number, since it uses less digits than its factorization.

263374848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 449 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 263374848 is about 16228.8276840935. The cubic root of 263374848 is about 641.0001030306. Note that the first 3 decimals are identical.

The spelling of 263374848 in words is "two hundred sixty-three million, three hundred seventy-four thousand, eight hundred forty-eight".