253009248 has 48 divisors (see below), whose sum is σ = 679605696. Its totient is φ = 82373760.

The previous prime is 253009241. The next prime is 253009277. The reversal of 253009248 is 842900352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253009241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26518 + ... + 34773.

It is an arithmetic number, because the mean of its divisors is an integer number (14158452).

Almost surely, 2^253009248 is an apocalyptic number.

It is an amenable number.

253009248 is an abundant number, since it is smaller than the sum of its proper divisors (426596448).

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

253009248 is a wasteful number, since it uses less digits than its factorization.

253009248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61347 (or 61339 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 253009248 is about 15906.2644263196. The cubic root of 253009248 is about 632.4780605533.

The spelling of 253009248 in words is "two hundred fifty-three million, nine thousand, two hundred forty-eight".