253883808 has 120 divisors (see below), whose sum is σ = 765196740. Its totient is φ = 82529280.

The previous prime is 253883807. The next prime is 253883809. The reversal of 253883808 is 808388352.

253883808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253883807) and next prime (253883809).

It can be written as a sum of positive squares in 2 ways, for example, as 210482064 + 43401744 = 14508^2 + 6588^2 .

It is not an unprimeable number, because it can be changed into a prime (253883807) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105078 + ... + 107466.

Almost surely, 2^253883808 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 253883808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382598370).

253883808 is an abundant number, since it is smaller than the sum of its proper divisors (511312932).

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

253883808 is a wasteful number, since it uses less digits than its factorization.

253883808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 253883808 is about 15933.7317662875. The cubic root of 253883808 is about 633.2059705726.

The spelling of 253883808 in words is "two hundred fifty-three million, eight hundred eighty-three thousand, eight hundred eight".