263029248 has 160 divisors (see below), whose sum is σ = 795484800. Its totient is φ = 85782528.

The previous prime is 263029243. The next prime is 263029259. The reversal of 263029248 is 842920362.

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

It is not an unprimeable number, because it can be changed into a prime (263029243) 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, 732493 + ... + 732851.

It is an arithmetic number, because the mean of its divisors is an integer number (4971780).

Almost surely, 2^263029248 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 263029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397742400).

263029248 is an abundant number, since it is smaller than the sum of its proper divisors (532455552).

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

263029248 is an equidigital number, since it uses as much as digits as its factorization.

263029248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 263029248 is about 16218.1764696281. The cubic root of 263029248 is about 640.7196072469.

It can be divided in two parts, 2630 and 29248, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 263029248 in words is "two hundred sixty-three million, twenty-nine thousand, two hundred forty-eight".