263424 has 72 divisors (see below), whose sum is σ = 817600. Its totient is φ = 75264.

The previous prime is 263423. The next prime is 263429. The reversal of 263424 is 424362.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1152) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 263424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37629 + ... + 37635.

263424 is a Friedman number, since it can be written as 6*(24+4)^3*2, using all its digits and the basic arithmetic operations.

2²⁶³⁴²⁴ is an apocalyptic number.

263424 is a gapful number since it is divisible by the number (24) 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 263424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408800).

263424 is an abundant number, since it is smaller than the sum of its proper divisors (554176).

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

263424 is an frugal number, since it uses more digits than its factorization.

263424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 12 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 263424 is about 513.2484778351. The cubic root of 263424 is about 64.1039975830.

Multiplying 263424 by its sum of digits (21), we get a square (5531904 = 2352²).

263424 divided by its sum of digits (21) gives a square (12544 = 112²).

Multiplying 263424 by its product of digits (1152), we get a cube (303464448 = 672³).

Adding to 263424 its reverse (424362), we get a palindrome (687786).

The spelling of 263424 in words is "two hundred sixty-three thousand, four hundred twenty-four".