253955072 has 88 divisors (see below), whose sum is σ = 589536000. Its totient is φ = 107089920.

The previous prime is 253955071. The next prime is 253955077. The reversal of 253955072 is 270559352.

It is not an unprimeable number, because it can be changed into a prime (253955071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508679 + ... + 509177.

Almost surely, 2^253955072 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 253955072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294768000).

253955072 is an abundant number, since it is smaller than the sum of its proper divisors (335580928).

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

253955072 is an equidigital number, since it uses as much as digits as its factorization.

253955072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 38.

The square root of 253955072 is about 15935.9678714536. The cubic root of 253955072 is about 633.2652110170.

The spelling of 253955072 in words is "two hundred fifty-three million, nine hundred fifty-five thousand, seventy-two".