253588272 has 80 divisors (see below), whose sum is σ = 755427840. Its totient is φ = 71801856.

The previous prime is 253588261. The next prime is 253588273. The reversal of 253588272 is 272885352.

253588272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (253588273) 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, 34629 + ... + 41307.

It is an arithmetic number, because the mean of its divisors is an integer number (9442848).

Almost surely, 2^253588272 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 253588272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377713920).

253588272 is an abundant number, since it is smaller than the sum of its proper divisors (501839568).

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

253588272 is a wasteful number, since it uses less digits than its factorization.

253588272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810 (or 6804 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 253588272 is about 15924.4551555147. The cubic root of 253588272 is about 632.9601785830.

The spelling of 253588272 in words is "two hundred fifty-three million, five hundred eighty-eight thousand, two hundred seventy-two".