253708272 has 120 divisors (see below), whose sum is σ = 764571600. Its totient is φ = 78243840.

The previous prime is 253708219. The next prime is 253708277. The reversal of 253708272 is 272807352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253708277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148479 + ... + 150177.

It is an arithmetic number, because the mean of its divisors is an integer number (6371430).

Almost surely, 2^253708272 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 253708272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382285800).

253708272 is an abundant number, since it is smaller than the sum of its proper divisors (510863328).

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

253708272 is a wasteful number, since it uses less digits than its factorization.

253708272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 253708272 is about 15928.2224997016. Note that the first 3 decimals coincide. The cubic root of 253708272 is about 633.0600034462.

The spelling of 253708272 in words is "two hundred fifty-three million, seven hundred eight thousand, two hundred seventy-two".