253288656 has 60 divisors (see below), whose sum is σ = 712044580. Its totient is φ = 84049920.

The previous prime is 253288621. The next prime is 253288657. The reversal of 253288656 is 656882352.

It can be written as a sum of positive squares in 2 ways, for example, as 210830400 + 42458256 = 14520^2 + 6516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253288657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29136 + ... + 36816.

Almost surely, 2^253288656 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 253288656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356022290).

253288656 is an abundant number, since it is smaller than the sum of its proper divisors (458755924).

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

253288656 is a wasteful number, since it uses less digits than its factorization.

253288656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7924 (or 7915 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 253288656 is about 15915.0449575237. The cubic root of 253288656 is about 632.7107983135.

The spelling of 253288656 in words is "two hundred fifty-three million, two hundred eighty-eight thousand, six hundred fifty-six".