253488768 has 256 divisors, whose sum is σ = 801964800. Its totient is φ = 70189056.

The previous prime is 253488761. The next prime is 253488791. The reversal of 253488768 is 867884352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 253488768.

It is not an unprimeable number, because it can be changed into a prime (253488761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2461005 + ... + 2461107.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^253488768 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 253488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

253488768 is an abundant number, since it is smaller than the sum of its proper divisors (548476032).

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

253488768 is a wasteful number, since it uses less digits than its factorization.

253488768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 253488768 is about 15921.3305976605. The cubic root of 253488768 is about 632.8773799207.

The spelling of 253488768 in words is "two hundred fifty-three million, four hundred eighty-eight thousand, seven hundred sixty-eight".