253268624 has 60 divisors (see below), whose sum is σ = 574623936. Its totient is φ = 105932736.

The previous prime is 253268623. The next prime is 253268627. The reversal of 253268624 is 426862352.

It is not an unprimeable number, because it can be changed into a prime (253268621) 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 11 ways as a sum of consecutive naturals, for example, 206477 + ... + 207699.

Almost surely, 2^253268624 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 253268624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287311968).

253268624 is an abundant number, since it is smaller than the sum of its proper divisors (321355312).

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

253268624 is a wasteful number, since it uses less digits than its factorization.

253268624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1275 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 253268624 is about 15914.4156034710. The cubic root of 253268624 is about 632.6941180075.

The spelling of 253268624 in words is "two hundred fifty-three million, two hundred sixty-eight thousand, six hundred twenty-four".