262048 has 24 divisors (see below), whose sum is σ = 544320. Its totient is φ = 123840.

The previous prime is 262027. The next prime is 262049. The reversal of 262048 is 840262.

It is a nialpdrome in base 4 and base 8.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262049) by changing a digit.

262048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393 + ... + 823.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2²⁶²⁰⁴⁸ 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 262048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

262048 is an abundant number, since it is smaller than the sum of its proper divisors (282272).

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

262048 is a wasteful number, since it uses less digits than its factorization.

262048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 262048 is about 511.9062414154. The cubic root of 262048 is about 63.9921865461.

The spelling of 262048 in words is "two hundred sixty-two thousand, forty-eight".