253210272 has 48 divisors (see below), whose sum is σ = 759632832. Its totient is φ = 72345600.

The previous prime is 253210271. The next prime is 253210297. The reversal of 253210272 is 272012352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (253210271) 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, 187729 + ... + 189072.

It is an arithmetic number, because the mean of its divisors is an integer number (15825684).

Almost surely, 2^253210272 is an apocalyptic number.

It is an amenable number.

253210272 is an abundant number, since it is smaller than the sum of its proper divisors (506422560).

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

253210272 is a wasteful number, since it uses less digits than its factorization.

253210272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376821 (or 376813 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 253210272 is about 15912.5821914609. The cubic root of 253210272 is about 632.6455242756.

The spelling of 253210272 in words is "two hundred fifty-three million, two hundred ten thousand, two hundred seventy-two".