263472 has 40 divisors (see below), whose sum is σ = 744000. Its totient is φ = 79680.

The previous prime is 263443. The next prime is 263489. The reversal of 263472 is 274362.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2¹⁷ + 6³ + 4⁵ + 3⁴ + 7 + 2¹⁷ .

It is an unprimeable number.

263472 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279 + ... + 777.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2²⁶³⁴⁷² is an apocalyptic number.

263472 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 263472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372000).

263472 is an abundant number, since it is smaller than the sum of its proper divisors (480528).

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

263472 is a wasteful number, since it uses less digits than its factorization.

263472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 263472 is about 513.2952366816. The cubic root of 263472 is about 64.1078909324.

The spelling of 263472 in words is "two hundred sixty-three thousand, four hundred seventy-two".