263850048 has 280 divisors, whose sum is σ = 976603584. Its totient is φ = 68428800.

The previous prime is 263850029. The next prime is 263850061. The reversal of 263850048 is 840058362.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 263849994 and 263850021.

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, 398838 + ... + 399498.

Almost surely, 2^263850048 is an apocalyptic number.

263850048 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 263850048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488301792).

263850048 is an abundant number, since it is smaller than the sum of its proper divisors (712753536).

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

263850048 is a wasteful number, since it uses less digits than its factorization.

263850048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 684 counting only the distinct ones).

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

The square root of 263850048 is about 16243.4617000195. The cubic root of 263850048 is about 641.3853843624.

The spelling of 263850048 in words is "two hundred sixty-three million, eight hundred fifty thousand, forty-eight".