253868544 has 120 divisors (see below), whose sum is σ = 752989380. Its totient is φ = 82280448.

The previous prime is 253868539. The next prime is 253868567. The reversal of 253868544 is 445868352.

253868544 is a `hidden beast` number, since 2 + 538 + 68 + 54 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 252428544 + 1440000 = 15888^2 + 1200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 253868544.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 169752 + ... + 171240.

Almost surely, 2^253868544 is an apocalyptic number.

253868544 is a gapful number since it is divisible by the number (24) 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 253868544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376494690).

253868544 is an abundant number, since it is smaller than the sum of its proper divisors (499120836).

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

253868544 is a wasteful number, since it uses less digits than its factorization.

253868544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1531 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 253868544 is about 15933.2527752496. The cubic root of 253868544 is about 633.1932804504.

It can be divided in two parts, 25386 and 8544, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 253868544 in words is "two hundred fifty-three million, eight hundred sixty-eight thousand, five hundred forty-four".