262872792 has 192 divisors, whose sum is σ = 893954880. Its totient is φ = 67931136.

The previous prime is 262872787. The next prime is 262872811. The reversal of 262872792 is 297278262.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346878 + ... + 347634.

It is an arithmetic number, because the mean of its divisors is an integer number (4656015).

Almost surely, 2^262872792 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 262872792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446977440).

262872792 is an abundant number, since it is smaller than the sum of its proper divisors (631082088).

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

262872792 is a wasteful number, since it uses less digits than its factorization.

262872792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 835 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 262872792 is about 16213.3522752082. The cubic root of 262872792 is about 640.5925436724.

The spelling of 262872792 in words is "two hundred sixty-two million, eight hundred seventy-two thousand, seven hundred ninety-two".