263484 has 36 divisors (see below), whose sum is σ = 718536. Its totient is φ = 80928.

The previous prime is 263443. The next prime is 263489. The reversal of 263484 is 484362.

263484 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263489) by changing a digit.

263484 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187 + ... + 749.

2²⁶³⁴⁸⁴ 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 263484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359268).

263484 is an abundant number, since it is smaller than the sum of its proper divisors (455052).

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

263484 is a wasteful number, since it uses less digits than its factorization.

263484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 581 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 263484 is about 513.3069257277. The cubic root of 263484 is about 64.1088641958.

It can be divided in two parts, 263 and 484, that added together give a palindrome (747).

The spelling of 263484 in words is "two hundred sixty-three thousand, four hundred eighty-four".