253027712 has 128 divisors (see below), whose sum is σ = 616896000. Its totient is φ = 100970496.

The previous prime is 253027703. The next prime is 253027717. The reversal of 253027712 is 217720352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253027717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1515053 + ... + 1515219.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2^253027712 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 253027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

253027712 is an abundant number, since it is smaller than the sum of its proper divisors (363868288).

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

253027712 is a wasteful number, since it uses less digits than its factorization.

253027712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 253027712 is about 15906.8448159904. The cubic root of 253027712 is about 632.4934457496.

The spelling of 253027712 in words is "two hundred fifty-three million, twenty-seven thousand, seven hundred twelve".