253829808 has 80 divisors (see below), whose sum is σ = 753746400. Its totient is φ = 81688320.

The previous prime is 253829791. The next prime is 253829809. The reversal of 253829808 is 808928352.

It is not an unprimeable number, because it can be changed into a prime (253829809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2398 + ... + 22658.

It is an arithmetic number, because the mean of its divisors is an integer number (9421830).

Almost surely, 2^253829808 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 253829808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376873200).

253829808 is an abundant number, since it is smaller than the sum of its proper divisors (499916592).

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

253829808 is a wasteful number, since it uses less digits than its factorization.

253829808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20307 (or 20295 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 253829808 is about 15932.0371578778. The cubic root of 253829808 is about 633.1610739889.

The spelling of 253829808 in words is "two hundred fifty-three million, eight hundred twenty-nine thousand, eight hundred eight".