253228248 has 192 divisors, whose sum is σ = 871372800. Its totient is φ = 66718080.

The previous prime is 253228211. The next prime is 253228249. The reversal of 253228248 is 842822352.

253228248 is a `hidden beast` number, since 2 + 532 + 2 + 82 + 48 = 666.

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 (253228249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255033 + ... + 256023.

It is an arithmetic number, because the mean of its divisors is an integer number (4538400).

Almost surely, 2^253228248 is an apocalyptic number.

253228248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253228248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435686400).

253228248 is an abundant number, since it is smaller than the sum of its proper divisors (618144552).

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

253228248 is a wasteful number, since it uses less digits than its factorization.

253228248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1016 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 253228248 is about 15913.1470174821. The cubic root of 253228248 is about 632.6604949253.

The spelling of 253228248 in words is "two hundred fifty-three million, two hundred twenty-eight thousand, two hundred forty-eight".