263766252 has 48 divisors (see below), whose sum is σ = 639606240. Its totient is φ = 84499968.

The previous prime is 263766163. The next prime is 263766263. The reversal of 263766252 is 252667362.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 263766252.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79458 + ... + 82710.

It is an arithmetic number, because the mean of its divisors is an integer number (13325130).

Almost surely, 2^263766252 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 263766252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319803120).

263766252 is an abundant number, since it is smaller than the sum of its proper divisors (375839988).

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

263766252 is a wasteful number, since it uses less digits than its factorization.

263766252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3520 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 263766252 is about 16240.8821188998. The cubic root of 263766252 is about 641.3174780892.

The spelling of 263766252 in words is "two hundred sixty-three million, seven hundred sixty-six thousand, two hundred fifty-two".