253457568 has 288 divisors, whose sum is σ = 935625600. Its totient is φ = 63203328.

The previous prime is 253457557. The next prime is 253457579. The reversal of 253457568 is 865754352.

253457568 is a `hidden beast` number, since 2 + 5 + 34 + 57 + 568 = 666.

253457568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253457557) and next prime (253457579).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497698 + ... + 498206.

It is an arithmetic number, because the mean of its divisors is an integer number (3248700).

Almost surely, 2^253457568 is an apocalyptic number.

253457568 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 253457568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467812800).

253457568 is an abundant number, since it is smaller than the sum of its proper divisors (682168032).

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

253457568 is a wasteful number, since it uses less digits than its factorization.

253457568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 553 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 253457568 is about 15920.3507499050. The cubic root of 253457568 is about 632.8514135046.

The spelling of 253457568 in words is "two hundred fifty-three million, four hundred fifty-seven thousand, five hundred sixty-eight".