253825488 has 200 divisors, whose sum is σ = 858228800. Its totient is φ = 72394560.

The previous prime is 253825483. The next prime is 253825501. The reversal of 253825488 is 884528352.

253825488 is a `hidden beast` number, since 25 + 3 + 82 + 548 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253825483) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 444243 + ... + 444813.

It is an arithmetic number, because the mean of its divisors is an integer number (4291144).

Almost surely, 2^253825488 is an apocalyptic number.

253825488 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 253825488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429114400).

253825488 is an abundant number, since it is smaller than the sum of its proper divisors (604403312).

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

253825488 is an equidigital number, since it uses as much as digits as its factorization.

253825488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 583 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 253825488 is about 15931.9015814183. The cubic root of 253825488 is about 633.1574819871.

The spelling of 253825488 in words is "two hundred fifty-three million, eight hundred twenty-five thousand, four hundred eighty-eight".