262048000 has 144 divisors (see below), whose sum is σ = 688746240. Its totient is φ = 99072000.

The previous prime is 262047997. The next prime is 262048049. The reversal of 262048000 is 840262.

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, 607785 + ... + 608215.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2^262048000 is an apocalyptic number.

262048000 is a gapful number since it is divisible by the number (20) 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 262048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344373120).

262048000 is an abundant number, since it is smaller than the sum of its proper divisors (426698240).

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

262048000 is an equidigital number, since it uses as much as digits as its factorization.

262048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 457 counting only the distinct ones).

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

The square root of 262048000 is about 16187.8967132855. The cubic root of 262048000 is about 639.9218654613.

Adding to 262048000 its reverse (840262), we get a palindrome (262888262).

The spelling of 262048000 in words is "two hundred sixty-two million, forty-eight thousand".