253268928 has 168 divisors, whose sum is σ = 804525696. Its totient is φ = 75532800.

The previous prime is 253268923. The next prime is 253268971. The reversal of 253268928 is 829862352.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253268923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449575 + ... + 450137.

Almost surely, 2^253268928 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 253268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402262848).

253268928 is an abundant number, since it is smaller than the sum of its proper divisors (551256768).

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

253268928 is a wasteful number, since it uses less digits than its factorization.

253268928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 650 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 253268928 is about 15914.4251545571. The cubic root of 253268928 is about 632.6943711498.

The spelling of 253268928 in words is "two hundred fifty-three million, two hundred sixty-eight thousand, nine hundred twenty-eight".