253309248 has 112 divisors (see below), whose sum is σ = 788578560. Its totient is φ = 79460352.

The previous prime is 253309237. The next prime is 253309253. The reversal of 253309248 is 842903352.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 25065 + ... + 33687.

It is an arithmetic number, because the mean of its divisors is an integer number (7040880).

Almost surely, 2^253309248 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 253309248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394289280).

253309248 is an abundant number, since it is smaller than the sum of its proper divisors (535269312).

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

253309248 is a wasteful number, since it uses less digits than its factorization.

253309248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8661 (or 8645 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 253309248 is about 15915.6918794000. The cubic root of 253309248 is about 632.7279440053.

The spelling of 253309248 in words is "two hundred fifty-three million, three hundred nine thousand, two hundred forty-eight".