263872752 has 160 divisors (see below), whose sum is σ = 823280640. Its totient is φ = 71746560.

The previous prime is 263872747. The next prime is 263872753. The reversal of 263872752 is 257278362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263872753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253449 + ... + 254487.

It is an arithmetic number, because the mean of its divisors is an integer number (5145504).

Almost surely, 2^263872752 is an apocalyptic number.

263872752 is a gapful number since it is divisible by the number (22) 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 263872752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411640320).

263872752 is an abundant number, since it is smaller than the sum of its proper divisors (559407888).

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

263872752 is a wasteful number, since it uses less digits than its factorization.

263872752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1105 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 263872752 is about 16244.1605507949. The cubic root of 263872752 is about 641.4037806652.

The spelling of 263872752 in words is "two hundred sixty-three million, eight hundred seventy-two thousand, seven hundred fifty-two".