253093248 has 192 divisors, whose sum is σ = 772262400. Its totient is φ = 82487808.

The previous prime is 253093241. The next prime is 253093249. The reversal of 253093248 is 842390352.

253093248 is a `hidden beast` number, since 25 + 309 + 324 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253093241) 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 23 ways as a sum of consecutive naturals, for example, 2457165 + ... + 2457267.

It is an arithmetic number, because the mean of its divisors is an integer number (4022200).

Almost surely, 2^253093248 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 253093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386131200).

253093248 is an abundant number, since it is smaller than the sum of its proper divisors (519169152).

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

253093248 is an equidigital number, since it uses as much as digits as its factorization.

253093248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

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

The square root of 253093248 is about 15908.9046763126. The cubic root of 253093248 is about 632.5480478219.

The spelling of 253093248 in words is "two hundred fifty-three million, ninety-three thousand, two hundred forty-eight".